# Find the derivative 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 3.4, Problem 8E
To determine

Expert Solution

## Answer to Problem 8E

The derivative of the given function is F'(x)=100(4xx2)99(42x) .

### Explanation of Solution

Given:

The given function is F(x)=(4xx2)100 .

Calculation:

Use quotient rule.

F(x)=(4xx2)100

Apply chain rule.

Let f=a100,a=4xx2

ddxF(x)=dda(a100)ddx(4xx2)

Use power rule.

ddx(xn)=nxn1

F'(x)=100a99(42x)

Substitute the value of a=4xx2 .

F'(x)=100(4xx2)99(42x)

Hence the derivativeof the given function is F'(x)=100(4xx2)99(42x) .

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