   Chapter 8.4, Problem 1CP ### 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. y = cos   4 x b. y = sin ( x 2 − 1 ) c. y = tan x 2

(a)

To determine

To calculate: The derivative of the trigonometric function y=cos4x.

Explanation

Given Information:

The trigonometric function:

y=cos4x

Formula used:

Cosine differentiation rule:

ddx[cosu]=sinududx

General power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the trigonometric function:

y=cos4x

Letting u=4x then dudx=4

Substitute u for 4x in above function,

y=cosu

Now differentiate the given function y=cosu with r

(b)

To determine

To calculate: The derivative of the trigonometric function y=sin(x21).

(c)

To determine

To calculate: The derivative of the trigonometric function y=tanx2.

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