   Chapter 8.4, Problem 2CP ### 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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# Differentiate each function.a. f ( x ) = 2   cos   x 3 b. f ( x ) = sin 3 x

(a)

To determine

To calculate: The derivative of the trigonometric function f(x)=2cosx3.

Explanation

Given Information:

The trigonometric function:

f(x)=2cosx3

Formula used:

Cosine differentiation rule:

ddx[cosu]=sinududx

The power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the trigonometric function:

f(x)=2cosx3

Letting u=x3 then dudx=3x2

Substitute u for x3 in above function,

f(x)=2cosu

Now differentiate the given function f(x)=2cosu with respect to x,

(b)

To determine

To calculate: The derivative of the trigonometric function f(x)=sin3x.

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