   Chapter 8.4, Problem 26E ### 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 = − sin 4 2 x

To determine

To calculate: The derivative of the trigonometric function y=sin42x.

Explanation

Given Information:

The provided trigonometric function is y=sin42x.

Formula used:

Sine rule of differentiation:

ddx[sinu]=cosududx

General power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the provided trigonometric function is,

y=sin42x

Differentiate the above function using general power rule.

dydx=ddx[sin42x]=ddx[(sin2x)<

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