-5 -4 -3 -2 -1 As x → 1- As x → 1+ I f'(1) = > 10 4 3 2 1 3 5 1 2 (b) Use the definition of a derivative to show that the function is not differentiable at x = 1. f'(1) = 3 4 S

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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f(x) = 

 
4x,     x ≤ 1
 
4
x
,    
x > 1
5
4
3
2
1
X
+
-5 -4 - 3 -2 -1
1 2 3 4 5
2
-3
-4
(b) Use the definition of a derivative to show that the function is not differentiable at x = 1.
As x → 1- f'(1)
→ 1+
As X →
The limits ?
f'(1)
y
=
=
✓equal.
Transcribed Image Text:5 4 3 2 1 X + -5 -4 - 3 -2 -1 1 2 3 4 5 2 -3 -4 (b) Use the definition of a derivative to show that the function is not differentiable at x = 1. As x → 1- f'(1) → 1+ As X → The limits ? f'(1) y = = ✓equal.
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