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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 8.4, Problem 1E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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  x 3

To determine

To calculate: The derivative of the trigonometric function y=sinx3.

Explanation

Given Information:

The provided trigonometric function is y=sinx3.

Formula used:

Sine differentiation rule:

ddx[sinu]=cosududx

General power rule of differentiation:

ddx[xn]=nxn−1

Calculation:

Consider the trigonometric function is,

y=sinx3

Now, consider u=x3.

Then, the provided trigonometric function became as,

y=sinu

Differentiate the above function y with respect to u by using Sine and power rule of differentiation rule

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Sect-8.1 P-1CPSect-8.1 P-2CPSect-8.1 P-3CPSect-8.1 P-4CPSect-8.1 P-1SWUSect-8.1 P-2SWUSect-8.1 P-3SWUSect-8.1 P-4SWUSect-8.1 P-5SWUSect-8.1 P-6SWU
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