A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

i cant figure out the first derivative of this function...1/(5x^2+3).. and help.. i know its the quotient rule but i need some help

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    think of it this way.. (5x^2+3)^ -1

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then you can use the power rule to solve it :)

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so to the start its the f'(x)=-5x^2-3?

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yup and qiuck question is it - or + 3

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im in 4th grade\

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the original equation is +... but the derivative i believe would be negative right?//

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    4th grade huh..freakin genius

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -(5x^2 +3) ^ -2 now take the derivitive of the inside function... {-(5x^2 +3) ^ -2} x {10x} so the final answer is.. -10x(5x^2 +3)^-2

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks for that refreshment.. ill keep you in mind when i need help there

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no probs. you in hs or college?

  11. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    college.. you really in 4th?

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    want to help me with the second derivative of that f'(x)>?

  13. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i'm in hs, haha and surely

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is that the product rule?

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah, usually whenever i see something in the denominator i'll make it a negative exponent and solve it that way

  16. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ya i totally forgot about that trick

  17. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    f 'g + g'f {-(5x^2 +3) ^ -2} x {10} + {20x(5x^2 +3) ^ -3} {10x} ok so i think that's what it is haha do you agree? i just used the product rule for it then the chain rule to find the derivitive of the ugly function

  18. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    where did you use the chain rule at>

  19. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    to find the derivitive of this function: {-(5x^2 +3) ^ -2}

  20. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    isnt the chain rule for the function -10x(5x^2+3)^-2?

  21. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no, because in order to find the f'(x) of {-10x} x {(5x^2+3)^-2} you must assign one to be the g function and the other one the f function.. then you use f'g+g'f

  22. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i got (-10)(5x^2+3)^-2 + (-10x)(10x)(20x)(5x^2+3)^-3......before simplifying

  23. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what the heck did you do?

  24. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that was the first derivative .. and to find the second derivative you have to take the derivative of f'(x)....

  25. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so i took the product rule of f'(x).. and the chain rule after ...

  26. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no, how did you find the derivitive of -(5x^2 +3) ^ -2

  27. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    we already established that derivative ...

  28. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that was the -10x(5x^2+3)^-2

  29. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    because for this you need to use the chain rule.. which means you would bring the -2 down and subtract one from the exponent -(-2)(5x^2 +3) ^-3 then take the derivitive of the inside function.. 2(5x^2 +3) ^-3 x (10x)

  30. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the equation is different than the orginial part of the problem

  31. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    unless that was the first derivative the -(5x^2+3)^-2???

  32. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ya that was teh first der.

  33. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i think

  34. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no. pretend it's a new function, don't even think about the first equation... f(x)={-(5x^2 +3) ^ -2} g(x)={10x} Product rule.. f 'g + g'f {-(5x^2 +3) ^ -2} x {10} + {20x(5x^2 +3) ^ -3} {10x}

  35. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i mean.. g'f + f'g

  36. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    are you following?

  37. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes that all makes sense.. i was considering the exponent "-2" as g(x)..

  38. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thats why iw as getting confused ..

  39. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no worries :)

  40. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.