Homework Help is Here – Start Your Trial Now!
Math
Calculus
1. Show that function f(x)=D|x | is not differentiable at 0

1. Show that function f(x)=D|x | is not differentiable at 0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
See similar textbooks
icon
Related questions
Question
H.W / mathematical analysis 1. Show that function f(x)=|x | is not differentiable at 0 2. Proof that f is differentiable at x, then f is continuos at x. By using f (x) – f(x.) = α(x) + β (x) х — Хо Where B (x) → 0 Then f is differentiable at x, and a(x.) = f'(xo) as x → X, 3. Proof that f (x) = x sin (-) is continuos but is not differentiable at 0 4. If f:1 → R is differentiable on I and g(y) = y" for ne N and ye R what is (gof)' by usin chain Ruie mathematical analysis
Transcribed Image Text:H.W / mathematical analysis 1. Show that function f(x)=|x | is not differentiable at 0 2. Proof that f is differentiable at x, then f is continuos at x. By using f (x) – f(x.) = α(x) + β (x) х — Хо Where B (x) → 0 Then f is differentiable at x, and a(x.) = f'(xo) as x → X, 3. Proof that f (x) = x sin (-) is continuos but is not differentiable at 0 4. If f:1 → R is differentiable on I and g(y) = y" for ne N and ye R what is (gof)' by usin chain Ruie mathematical analysis
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
SEE MORE TEXTBOOKS