# Find the differentiate form of the given function.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 3.3, Problem 1E
To determine

## Find the differentiate form of the given function.

Expert Solution

The differentiate form of the given function is f'(x)=6x+2sinx .

### Explanation of Solution

Given:

The given function is f(x)=3x22cosx .

Calculation:

Use power rule and derivative of the trigonometric function.

ddx(xn)=nxn1,n>0 and ddx(cosx)=sinx

f(x)=3x22cosxddxf(x)=ddx(3x2)ddx(2cosx)f'(x)=6x2(sinx)f'(x)=6x+2sinx

Hence the differentiate form of the given function is f'(x)=6x+2sinx .

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