Check the differentiability and continuity of the function below.: 3x 1. f(x) = 2. f(x) = 5- x² at x = 3 3. f(x) = 3x- x at x = 0 4. f(x) = x2 + 4x at x = 1 +1 at x =-2 2. %3D %3D %3D %3D %3D

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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Check the differentiability and continuity of the function below.
1. f(x) = +1 at x = -2
3x
%3D
2. f(x) = 5– x² at x = 3
3. f(x) = 3x - x² at x = 0
4. f(x) = x² + 4x at x = 1
5. f(x) = x2 - 9 at x = 2
%3D
%3D
%3D
%3D
Transcribed Image Text:Check the differentiability and continuity of the function below. 1. f(x) = +1 at x = -2 3x %3D 2. f(x) = 5– x² at x = 3 3. f(x) = 3x - x² at x = 0 4. f(x) = x² + 4x at x = 1 5. f(x) = x2 - 9 at x = 2 %3D %3D %3D %3D
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