   Chapter 8.4, Problem 5CP ### 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 = x 2   cos   x b. y = t   sin   2 t

(a)

To determine

To calculate: The derivative of the trigonometric function y=x2cosx.

Explanation

Given Information:

The trigonometric function:

y=x2cosx

Formula used:

Cosine differentiation rule:

ddx[cosu]=sinududx

Product rule of differentiation:

ddx[a(x)b(x)]=a(x)b'(x)+b(x)a'(x)

General power rule of differentiation:

ddx[xn]=nxn1

Calculation:

Consider the trigonometric function:

y=x2cosx

Apply the product rule of differentiation

(b)

To determine

To calculate: The derivative of the trigonometric function y=tsin2t.

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