Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Jaweria

I need help with 11 questions of Derivatives problems in Calculus 1. Can anyone help me with that please let me know, I will really appreciate it.

  • one year ago
  • one year ago

  • This Question is Closed
  1. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    we cant help with all 11 .maybe we can help in 1 or 2 with fond hope that you will understand how to do these and finish the rest yourself.

    • one year ago
  2. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    hmm thanks ok i ll need your help with atleast 2 of them.

    • one year ago
  3. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    bring it on !! and "WELCOME TO OPENSTUDY!!"

    • one year ago
  4. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    one of them is : |dw:1359270057247:dw|

    • one year ago
  5. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    thank you :)

    • one year ago
  6. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    and we are finding dx/dy

    • one year ago
  7. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    ok diff both sides with respect to y

    • one year ago
  8. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    use product rule

    • one year ago
  9. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

    • one year ago
  10. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    Like this:|dw:1359270336745:dw|

    • one year ago
  11. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    not sure though

    • one year ago
  12. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    can anyone help me here with my questions?

    • one year ago
  13. nitz
    Best Response
    You've already chosen the best response.
    Medals 0

    its \[x ^{2}y ^{2}=1 \] or \[xy ^{2}=1\]?

    • one year ago
  14. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    its x\[its x ^{2}y ^{2}=1\]

    • one year ago
  15. nitz
    Best Response
    You've already chosen the best response.
    Medals 0

    OK....differentiate both sides wrt to y using product rule:: \[x ^{2}(2y)+((y ^{2})2x (dx/dy))=0\]

    • one year ago
  16. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ahan ok

    • one year ago
  17. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    sorry i gt disconnected :O

    • one year ago
  18. nitz
    Best Response
    You've already chosen the best response.
    Medals 0

    so tell me from above equation what would be dx/dy?

    • one year ago
  19. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    oh its ok AravindG

    • one year ago
  20. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ok i will tell you

    • one year ago
  21. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    just solve for dx/dy after you applied product rule which will be .....

    • one year ago
  22. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    I need little bit of more discription for that if its possible.

    • one year ago
  23. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    everybody left me here :(

    • one year ago
  24. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    no one wants to help me :(

    • one year ago
  25. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    \[y^2=\frac{ 1 }{ x^2 }\]

    • one year ago
  26. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    \[y^2=x^{-2}\]

    • one year ago
  27. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    how did you get \[X ^{-2}\]

    • one year ago
  28. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you know how to differentiate explicitly?

    • one year ago
  29. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    You don't know that ???? \[x^-2=\frac{1}{x^2}\]

    • one year ago
  30. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    \[x^-2\]

    • one year ago
  31. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    oh yeah i do sorry

    • one year ago
  32. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    \[x^{-2}\]

    • one year ago
  33. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    So now, do you know how to differentiate explicitly?

    • one year ago
  34. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    That means you differentiate boths sides at the same time.

    • one year ago
  35. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    yup

    • one year ago
  36. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay. Give it a shot and tell me what you get. Remember, when you differentiate the y part, you also have to attach a dy/dx.

    • one year ago
  37. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ahan ok

    • one year ago
  38. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    is it \[-\frac{ y }{ x}\]

    • one year ago
  39. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Nope. Show me what you did as your first step.

    • one year ago
  40. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    I gave you this to differentiate. \[y^2=x^{-2}\]

    • one year ago
  41. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    I did like this:|dw:1359271872658:dw|

    • one year ago
  42. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Then what's your next step.

    • one year ago
  43. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    ?*

    • one year ago
  44. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    then I canceled \[Y ^{2} which became Y and Then I can canceled X ^{-2} and \it became -x\]

    • one year ago
  45. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    oppss sorry i did bad

    • one year ago
  46. nitz
    Best Response
    You've already chosen the best response.
    Medals 0

    u have any doubt in my way......should i explain?

    • one year ago
  47. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    lolz right now I dont have any doubt at anyone I just need help very badly :(

    • one year ago
  48. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    When you differentiate y^2, you get 2y?

    • one year ago
  49. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

    • one year ago
  50. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Why did you get y?

    • one year ago
  51. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    and when you differentiate x^{-2}, you get -2x^{-3}

    • one year ago
  52. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    why did you get -x?

    • one year ago
  53. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes I did a mistake for -X though but I couldnt understand Y one

    • one year ago
  54. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    differentiate x^2

    • one year ago
  55. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    That's exactly the same as differentiating y^2. What are you doing?

    • one year ago
  56. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    \[2y\times \frac{ dy }{ dx }=-\frac{ 2 }{ x^3 }\]

    • one year ago
  57. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Make dy/dx the subject.

    • one year ago
  58. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    sorry one question that why there is

    • one year ago
  59. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    Sorry but i have a question that how you got X^3

    • one year ago
  60. nitz
    Best Response
    You've already chosen the best response.
    Medals 0

    \[(2x ^{2}y)=-(2xy ^{2})(dx/dy)\] \[dx/dy=-(2x ^{2}y)/(2xy ^{2})\] dx/dy=-x/y

    • one year ago
  61. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    http://www.wolframalpha.com/input/?i=differentiate+y%5E2%3Dx%5E-2

    • one year ago
  62. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    thanks Nitz for this :)

    • one year ago
  63. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    Aztec actually the answer I am having from the professor is matching with Nitz

    • one year ago
  64. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    @Jaweria, do you have an answer sheet or something?

    • one year ago
  65. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    yes I do

    • one year ago
  66. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Ah okay. I can see that because you differentiate straight away. I moved the x^2 to the other side. Somehow that affected it.

    • one year ago
  67. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    oh ok

    • one year ago
  68. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    nitz just differentiate straight away using the product rule.

    • one year ago
  69. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    but as Nitz just explained I am little bit confused there that how he is getting 2\[2X ^{2}Y\] isnt that when you get 2X then you dont need \[2X ^{2}\]

    • one year ago
  70. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Don't you know how to do the product rule?

    • one year ago
  71. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    I have it on my notes and I am still trying to learn this is my first homework of this Calculus class

    • one year ago
  72. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    I found it hard

    • one year ago
  73. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    What's the answer say in your sheet, Does it say -x/y or -y/x?

    • one year ago
  74. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    it says \[-\frac{ y }{ x }\]

    • one year ago
  75. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Nitz is wrong then...

    • one year ago
  76. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    <Look at his answer.

    • one year ago
  77. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    He did dx/dy. You want dy/dx

    • one year ago
  78. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    yeah but I dont think so that really matters you can do either way

    • one year ago
  79. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    oh yeah

    • one year ago
  80. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    ...

    • one year ago
  81. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    so its just we are flipping dy/dx instead of dx/dy

    • one year ago
  82. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    here's how you get -y/x

    • one year ago
  83. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    \[u=x^2\] \[u'=2x\] \[v=y^2\] \[v'=2y\] \[\frac{ dy }{ dx }=(u'\times v)+(u\times v')\]

    • one year ago
  84. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Sorry about that. \[0=2xy^2+2x^2y(\frac{dy}{dx})\]

    • one year ago
  85. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    When you differentiate y^2 you would write dy/dx next to it.

    • one year ago
  86. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    yup

    • one year ago
  87. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Then you make dy/dx as the subject.

    • one year ago
  88. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    And you're done.

    • one year ago
  89. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ahan cool thanks.

    • one year ago
  90. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    No worries mate.

    • one year ago
  91. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    one last question plzz

    • one year ago
  92. Azteck
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay. last one. And you can try and finish the others yourself using what you got from here.

    • one year ago
  93. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    alright.

    • one year ago
  94. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    \[y ^{2}\tan(x)=x\]

    • one year ago
  95. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    to find dx/dy ?

    • one year ago
  96. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    yup

    • one year ago
  97. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    product rule on left

    • one year ago
  98. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    try using draw button i will check :)

    • one year ago
  99. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    hmm ok

    • one year ago
  100. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    I know I ll get stuck again :( but I am trying

    • one year ago
  101. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    try ! try you will succeed ! :)

    • one year ago
  102. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    alright :)

    • one year ago
  103. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ok first step so far: |dw:1359274476783:dw|

    • one year ago
  104. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    can you write thhird term again ? i cant see it clearly

    • one year ago
  105. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    *third

    • one year ago
  106. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ok sure

    • one year ago
  107. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1359274789970:dw|

    • one year ago
  108. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    i mean third term fully from y^2 sec^2 x

    • one year ago
  109. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    oh ok sorry

    • one year ago
  110. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    and why do you have 2 equal signs ?

    • one year ago
  111. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1359274989073:dw|

    • one year ago
  112. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    I put X after equal sign because thats also in the question

    • one year ago
  113. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    for x diff with respect to y it will be simply dx/dy isnt it?

    • one year ago
  114. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    yeah thats what I pot in paranthesis next to the X

    • one year ago
  115. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    put

    • one year ago
  116. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    you wrote dy/dx there?

    • one year ago
  117. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    yes next to it

    • one year ago
  118. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1359275398794:dw|

    • one year ago
  119. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    what was the question ?

    • one year ago
  120. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    what i think is your question is \[y^2 \tan(x)=x \]

    • one year ago
  121. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    \[Y ^{2}\tan (x)=x\]

    • one year ago
  122. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1359275616596:dw|

    • one year ago
  123. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    this is what i get

    • one year ago
  124. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    sorry what is equal to dy/dx?

    • one year ago
  125. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    nothing !!

    • one year ago
  126. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    we just diff with respect to dy the whole equation

    • one year ago
  127. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    oh ok

    • one year ago
  128. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    so why do you think dy/dx will appear?

    • one year ago
  129. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    so the way i did is that wrong?

    • one year ago
  130. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    if you wanted dx/dy I believe my method is enough ...

    • one year ago
  131. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ahan ok

    • one year ago
  132. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    i will be glad if someone verifies this bcoz i have not done differentiation for a while :P

    • one year ago
  133. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    is Aztec here?

    • one year ago
  134. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    dunno , maybe he is away

    • one year ago
  135. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    have patience :) in the meantime try to work on other questions .BEST OF LUCK !

    • one year ago
  136. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    i have an answer sheet though

    • one year ago
  137. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    alright then i ll work on them :)

    • one year ago
  138. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    ok whats the answer you have for this question ?

    • one year ago
  139. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    its \[(1-y ^{2}\sec ^{2}x)/2y \tan (x)\]

    • one year ago
  140. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    in btw i frgt to add tan x here |dw:1359276176708:dw|

    • one year ago
  141. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ahan thats what I was thinking

    • one year ago
  142. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    i get dx/dy as reciprocal of your answer...are you sure the question asks for dx/dy ?

    • one year ago
  143. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    nope its asking for dy/dx

    • one year ago
  144. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    then my working is right !! :)

    • one year ago
  145. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ok :)

    • one year ago
  146. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    solve for dx/dy from my working...dy/dx=1/dx/dy

    • one year ago
  147. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    understood?

    • one year ago
  148. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

    • one year ago
  149. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    yup

    • one year ago
  150. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    thanks :)

    • one year ago
  151. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok bye I gtg

    • one year ago
  152. Jaweria
    Best Response
    You've already chosen the best response.
    Medals 1

    ok bye

    • one year ago
  153. AravindG
    Best Response
    You've already chosen the best response.
    Medals 1

    yw :)

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.