BuyFind

Single Variable Calculus: Concepts...

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

Single Variable Calculus: Concepts...

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

Solutions

Chapter 3.4, Problem 9E
To determine

Find the derivative of the given function.

Expert Solution

Answer to Problem 9E

The derivative of the given function is F'(x)=112x .

Explanation of Solution

Given:

The given function is F(x)=12x .

Calculation:

  F(x)=12x=(12x)12

Apply chain rule.

  df(a)dx=dfdadadx

Let f=a12,a=12x

  ddxF(x)=dda(a12)ddx(12x)

Use power rule.

  ddx(xn)=nxn1

  F'(x)=12a(2)=1a

Substitute the value of a=12x .

  F'(x)=112x

Hence the derivativeof the given function is F'(x)=112x .

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