Jaweria
Can anyone please help me with this question? Find Y prime: Y=cos^-1(2x+5).
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Jaweria
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This is the equation: \[Y=\cos^{-1} (2x+5)\]
Jaweria
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This is a new math to me and the homework is due tomorrow I m stuck with these problems!!
Jaweria
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I got an answer but it looks weird
mathsmind
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where is ur answer?
rnick
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what did you get? And next time, i recommend you go to the Calculus section, not the math.
Jaweria
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its \[2x /\sqrt{1-4x+25}\]
mathsmind
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(2x+5)=cosy
mathsmind
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-dy/dxsiny=2
mathsmind
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dy/dx=-2/siny
Jaweria
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oh so there wont be 2x anymore
mathsmind
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yup correct ur error, u'll get used to the method by practicing
Jaweria
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hmm ok
mathsmind
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it's ok to make error because from them u learn, but don't get turned off because of errors and ur close in ur answer
mathsmind
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ur not that far
Jaweria
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ok i know that numerator will be 2 but under radical is that also wrong?
Jaweria
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i m sorry i know i am asking too many stupid questions
mathsmind
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no ask any qs u like there isn't a stupid question in maths
Jaweria
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okyyy :)
mathsmind
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ok let me surprise u
Jaweria
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alright i m waiting for my surprise
mathsmind
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|dw:1360124524210:dw|
mathsmind
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can u solve the rest and tell me where did u make the mistake
Jaweria
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alright i am
mathsmind
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now ur final answer should be
mathsmind
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\[\frac{ dy }{ dx }=\frac{ 1 }{ \sqrt{-x^2-5x-6} }\]
mathsmind
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is the script clear because i am writing using a normal mouse
Jaweria
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yeah thats fine
Jaweria
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I m actually multiplying 2x by the power of 2 so its 4x and multipylinh 5 by the power of 2 so its giving me 25
mathsmind
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by the way give me the other 2 equations so u try and i try to solve the problem
mathsmind
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and this way we can save time
Jaweria
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oh ok
Jaweria
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but before I do that one more question just one last time can you please show me that how you got that answer on the numerator is 1 and denominator is different too.
Jaweria
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just last time then after that I ll do my other 3
mathsmind
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sure
Jaweria
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thanks
mathsmind
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|dw:1360125108009:dw|
mathsmind
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|dw:1360125325494:dw|
mathsmind
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can u see the answer now
mathsmind
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r u there?
Jaweria
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yeah sorry i was focusing deeply to that answer
Jaweria
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sorry one more question
Jaweria
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how you got 5 under that radical?
mathsmind
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yup go ahead
Jaweria
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bcoz once you took 4 out then 10 doesnt come into table of 4
mathsmind
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sorry its 20 not 10
Jaweria
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but how we are getting 20?
mathsmind
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because (2x+5)^2= 4x^2 + 20x +25
mathsmind
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and 25-1=24
mathsmind
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4x^2+20x+24, 4(x^2+5x+6)
Jaweria
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oh GOD whats wrong with me seriously my brain really isnt working I m still stuck with this 20
Jaweria
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I m trying to figure out that how we got 20 it looks like I forgot basic math too
mathsmind
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|dw:1360126122644:dw|
mathsmind
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u haven't ur just feeling tired i know u r clever
Jaweria
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yeah no doubt I m tired I had a classes today from 8:45am to 7:05 pm
Jaweria
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thanks though
mathsmind
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what's ur major?
Jaweria
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Information Science
mathsmind
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ok good
Jaweria
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ok but once you will cancel that 2 out from denominator of 4, arent you not suppose to get 2 in denominator?
mathsmind
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not because its root4=2
mathsmind
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remember we took the 4 out of the root
Jaweria
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\[1/2\sqrt{-x ^2{}}-5x-6\]
mathsmind
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|dw:1360126668198:dw|
Jaweria
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yeah we did take the 4 out from the root but we are also canceling that 2 with 4 right?
mathsmind
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so u can see when we took the 16 out of the root it became 4
mathsmind
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no cancelling the 2 with root4
Jaweria
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oh ok
mathsmind
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again let me show u
mathsmind
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|dw:1360126822923:dw|
Jaweria
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alright sir I got it now thank you so much for your patience and big help :)
Jaweria
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I really appreciated
mathsmind
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ur welcome
mathsmind
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by the way how does this smart score work
mathsmind
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and kindly send me the other 3 questions
Jaweria
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oh I never worked on that smart score thing sorry
Jaweria
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oh ok I will share with you these questions
Jaweria
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\[Y=\arctan(\sqrt{cscx})\]
mathsmind
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hehehe wow that is a long solution but not bad, with our method we can solve almost any question
Jaweria
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\[Y=\sec ^{-1}(e ^{x2})\]
Jaweria
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yeah
Jaweria
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and one last question of this homework is: \[Y=arc \cot(\sec 5x ^{3})\]
mathsmind
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that last function e^x^2 is how ur iphone works by the way
mathsmind
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by the way i calculated all the answer in my head
Jaweria
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lolz I dont have an iphone I carry that ordinary phones
mathsmind
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now u really have some chain rules here u have to be accurate
Jaweria
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hmm ok
Jaweria
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seriously i m giving up now I cant do this anymore ;(
Jaweria
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I m just so tired and again I have classes tomorrow frm 8:45 am and its all due tomorrow its already 12:22 am here
mathsmind
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by the way u can use the tables
mathsmind
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it would be faster
mathsmind
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ok all the best
mathsmind
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i will solve them for u
Jaweria
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hmm I feel bad though but if you can I really appreciate it
mathsmind
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its ok see u tomorrow
Jaweria
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alright thank u soo much though for your help. :) take care bye.