166 CHAPTER 2 Limits and Derivatives 64. Find f'(0) and f'-(0) for the given function f. Is f differen- tiable at 0? (0 if x <0 f(x) = [x if x > 0 (a) (o if x<0 f(x) = x? if x> 0 (b) 65. Let if x<0 if 0 4 (a) Find f'-(4) and f'4(4). (b) Sketch the graph of f. (c) Where is ƒ discontinuous? (d) Where is f not differentiable?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
icon
Related questions
Question
166
CHAPTER 2
Limits and Derivatives
64. Find f'(0) and f'-(0) for the given function f. Is f differen-
tiable at 0?
(0 if x <0
f(x) =
[x if x > 0
(a)
(o if x<0
f(x) =
x? if x> 0
(b)
65. Let
if x<0
if 0<x<4
f(x) =
if x > 4
(a) Find f'-(4) and f'4(4).
(b) Sketch the graph of f.
(c) Where is ƒ discontinuous?
(d) Where is f not differentiable?
Transcribed Image Text:166 CHAPTER 2 Limits and Derivatives 64. Find f'(0) and f'-(0) for the given function f. Is f differen- tiable at 0? (0 if x <0 f(x) = [x if x > 0 (a) (o if x<0 f(x) = x? if x> 0 (b) 65. Let if x<0 if 0<x<4 f(x) = if x > 4 (a) Find f'-(4) and f'4(4). (b) Sketch the graph of f. (c) Where is ƒ discontinuous? (d) Where is f not differentiable?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning