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anonymous
 3 years ago
Need help with this Question I worked on it but its giving me a weird answer. Find Y Prime: Y=cos^1(2x+5).
anonymous
 3 years ago
Need help with this Question I worked on it but its giving me a weird answer. Find Y Prime: Y=cos^1(2x+5).

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[1/\sqrt{(x2)(3x)}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0we are looking for derivative of y

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0can anyone explain this to me step by step please?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[Y=\cos^{1} (2x+5)\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0This one is a little tricky...Remember the derivative of the inverse cos of (x) or cos^1(x) is equal to 1/(square root of 1x^2)... to make this problem more visually appealing, you can let 2x5=u, you don't have to do this but it makes seeing the solution easier... Now remember there is going to be a chain rule involved... so d/dx of cos^1(u) is equal to 1/(square root of 1u^2) and multiplied by the derivative of (2x+5) which is equal to simply 2, because of the chain rule... So what you now have is 1/(square root of 1u^2) times 2... You can now write that as 2/(square root of 1u^2)... Then you can simply replace "u" for the original (2x+5) which would look like... 2/(square root of 1(2x+5)^2)... So that is your final answer!... You can of course simplify it further but I think most teachers would accept this as the final answer...Hope this helps! Again, final answer: 2/(square root of 1(2x+5)^2)
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