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 2.6, Problem 38E
To determine

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

Expert Solution

Answer to Problem 38E

  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 .

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