Answer
$e^{x}cos(e^{x})$
Work Step by Step
Taking the derivative of the expression using chain rule (multiply the derivative of the function by the derivative of the inside function) yields $cos(e^{x})$ $\times e^{x}=e^{x}cos(e^{x})$.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.3 Derivatives Of Inverse Functions; Derivatives And Integrals Involving Exponential Functions - Exercises Set 6.3 - Page 432: 20
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