   Chapter 8.4, Problem 3CP ### 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 = sec   4 x b. y = cot   x 2

(a)

To determine

To calculate: The derivative of the trigonometric function y=sec4x.

Explanation

Given Information:

The trigonometric function:

y=sec4x

Formula used:

Secant differentiation rule:

ddx[secu]=secutanududx

General power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the trigonometric function:

y=sec4x

Letting u=4x then dudx=4

Substitute u for 4x in above function,

y=secu

Now differentiate the given function y=secu with respect to x,

dydu=ddu(secu)

Apply the secant rule of differentiation

(b)

To determine

To calculate: The derivative of the trigonometric function f(x)=cotx2.

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