# 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 38E
To determine

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

Expert Solution

5 is limit and derivative of the function limt1t4+t2t1 .

### Explanation of Solution

Given: limt1t4+t2t1

Concept used:

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

limt1t4+t2t1 be a given function.

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

limt1t4+t2t1

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

f'(a)=limt1t4+t2t1[00]

Apply L.Hospital rule

f'(a)=limt14t3+11=4(1)3+1=5

Hence, 5 is limit and derivative of the function limt1t4+t2t1 .

### 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!