# 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 13E
To determine

## Find the differentiate form of the given function.

Expert Solution

The differentiate form of the given function is f'(x)=excscx(1+xxcotx) .

### Explanation of Solution

Given:

The given functionis f(x)=xexcscx .

Calculation:

Use product rule of three function.

(fgh)'=ghf'+fhg'+fgh'

Use derivative rule.

ddx(xn)=nxn1,ddx(ex)=ex and ddx(cscx)=cscxcotx

f(x)=xexcscxddxf(x)=excscxddx(x)+xcscxddx(ex)+xexddx(cscx)f'(x)=excscx+xcscxex+xex(cscxcotx)f'(x)=excscx+xexcscxxexcscxcotxf'(x)=excscx(1+xxcotx)

Hence the differentiate form of the given functionis f'(x)=excscx(1+xxcotx) .

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!