   Chapter 8.4, Problem 5E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Differentiating Trigonometric Functions In Exercises 1-28, find the derivative of the trigonometric function. See Examples 1, 2, 3, y  = tan 4 x 3

To determine

To calculate: The derivative of the trigonometric function y=tan4x3.

Explanation

Given Information:

The provided trigonometric function is y=tan4x3.

Formula used:

Tangent differentiation rule:

ddx[tanu]=sec2ududx

General power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the provided trigonometric function is,

y=tan4x3

Now, consider u=4x3.

Then, the provided trigonometric function became as,

y=tanu

Differentiate the above function y with respect to x by using Tangent and general power rule of differentiation

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