# To state: The limit and the derivative of the given function at some numbers a . ### 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 2.6, Problem 34E
To determine

## To state:The limit and the derivative of the given function at some numbers a .

Expert Solution

132 is limit and derivative of the function limh016+h42h at some numbers a .

### Explanation of Solution

Given: limh016+h42h

Concept used:

Definition of derivative: f'(a)=limh0f(a+h)f(a)h

limh016+h42h be a given function.

It has to find derivative of the function at some numbers a .

limh016+h42h

f'(a)=limh0f(a+h)f(a)h

f'(a)=limh016+h42h

Apply L.Hospital rule

f'(a)=limh014(16+h)34=limh014(16+h)34=132

Hence, 132 is limit and derivative of the function limh016+h42h at some numbers a .

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