54. Writing tO Learn ror what values of the constant m is | sin 2r, f(x) = mx, *>0 (a) continuous at x = 0? Explain. (b) differentiable at x = 0? Explain. In Exercises 55-58, determine where the function is (a) differentiable, (b) continuous but not differentiable, and (c) neither continuous nor differentiable.

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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54. Writing tO Learn ror what values of the constant m is
| sin 2r,
f(x) =
mx,
*>0
(a) continuous at x = 0? Explain.
(b) differentiable at x = 0? Explain.
In Exercises 55-58, determine where the function is
(a) differentiable, (b) continuous but not differentiable, and
(c) neither continuous nor differentiable.
Transcribed Image Text:54. Writing tO Learn ror what values of the constant m is | sin 2r, f(x) = mx, *>0 (a) continuous at x = 0? Explain. (b) differentiable at x = 0? Explain. In Exercises 55-58, determine where the function is (a) differentiable, (b) continuous but not differentiable, and (c) neither continuous nor differentiable.
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