   Chapter 8.4, Problem 4CP ### 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
1 views

# Differentiate each function.a. f ( x ) = cos   2 x b. f ( x ) = tan   3 x 3

(a)

To determine

To calculate: The derivative of the trigonometric function f(x)=cos2x.

Explanation

Given Information:

The trigonometric function:

f(x)=cos2x

Formula used:

Cosine differentiation rule:

ddx[cosu]=sinududx

General power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the trigonometric function:

f(x)=cos2x

Rewrite the function as rational exponent:

f(x)=(cos2x)1/2

Apply the general power rule

(b)

To determine

To calculate: The derivative of the trigonometric function f(x)=tan3x3.

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