Question

Differentiate the following function. $g(x) = e^{\tan(x)}$ A) $g'(x) = \tan(x)e^{\tan(x) - 1}$ B) $g'(x) = e^{\sec^2(x)}$ C) $g'(x) = -e^{\tan(x)} \cot^2(x)$ D) $g'(x) = \tan(x)e^{\sec^2(x)}$ E) $g'(x) = e^{\tan(x)} \sec^2(x)$

          Differentiate the following function.
$g(x) = e^{\tan(x)}$
A) $g'(x) = \tan(x)e^{\tan(x) - 1}$
B) $g'(x) = e^{\sec^2(x)}$
C) $g'(x) = -e^{\tan(x)} \cot^2(x)$
D) $g'(x) = \tan(x)e^{\sec^2(x)}$
E) $g'(x) = e^{\tan(x)} \sec^2(x)$

Added by Jessica C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Lauren Shelton

09/12/2022

Step 1

The derivative of e^x is e^x. The derivative of tan(x) is sec^2(x). Show more…

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