Textbook ExpertVerified Tutor
2 Nov 2021
Given information
exists, then 
.
Step-by-step explanation
Step 1.
Recall that
Multiply both sides by 
If exists then RHS becomes 0
ALTERNATE SOLUTION
A function is differentiable at a point only if it is continuous at that point.
By definition : 
is continuous at 
If and only If .
Hence the proved that the given statement is true
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1b
- Problem 1d
- Problem 1e
- Problem 2
- Problem 3a
- Problem 3b
- Problem 3c
- Problem 3d
- Problem 3e
- Problem 3f
- Problem 3g
- Problem 4
- Problem 5a
- Problem 5b
- Problem 6a
- Problem 6b
- Problem 6c
- Problem 6d
- Problem 6e
- Problem 6f
- Problem 6g
- Problem 7a
- Problem 7b
- Problem 9
- Problem 10
- Problem 11a
- Problem 11b
- Problem 13
- Problem 14a
- Problem 14b
- Problem 15
- Problem 16
- Problem 16a
- Problem 16b
- Problem 17a
- Problem 17b
- Problem 18
- Problem 23a
- Problem 28b
- Problem 37b
- Problem 37c
- Problem 39
- Problem 41