   Chapter 8.4, Problem 8E ### 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  = cos 6   x

To determine

To calculate: The derivative of the trigonometric function y=cos6x.

Explanation

Given Information:

The provided trigonometric function is y=cos6x.

Formula used:

Cosine differentiation rule:

ddx[cosu]=sinududx

General power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the provided trigonometric function is,

y=cos6x

Let u=cosx then dudx=sinx and the above function will become:

y=u6

Now, differentiate the above function using general power rule

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