Implicit Differentiation

Question

Use implicit differentiation of sec(y) = e^x to find the derivative of y -sec^(−1) (e^x). You may use the trigonometric identity (tan(y))^(2) + 1 = (sec(y))^(2) . Your final answer should be an explicit formula for the derivative of y -sec^(-1) (e^x) in terms of x

Answer 1

Hi Jake, forgive the mistakes in writing I made. If you have any additional questions about the video, please feel free to ask and I’ll reply ASAP.

I added the extra negative at the end because it looks like you have y = -sec(e^x); I can’t quite tell.

thank you!