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 one year 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).
 one year 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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Jaweria
 one year ago
Best ResponseYou've already chosen the best response.0we are looking for derivative of y

Jaweria
 one year ago
Best ResponseYou've already chosen the best response.0can anyone explain this to me step by step please?

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

SinginDaCalc2Blues
 one year 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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