Step by step solution to "Find the derivatives of the functions defined as..." - Plainmath

midtlinjeg

Answered question

2021-10-16

Find the derivatives of the functions defined as

y = e^{\cos x}

Answer & Explanation

insonsipthinye

Skilled2021-10-17Added 83 answers

Step 1: Concept
Derivative of

e^{x} = e^{x}

Derivative of

\cos x = - \sin x

Step 2: Solution

y = e^{\cos x}

Using chain rule

y^{'} = {(\cos x)}^{'} e^{\cos x}

= - \sin (x) e^{\cos x}

Answer:

- \sin (x) e^{\cos x}

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Answer is given below (on video)

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