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In Exercises 41–44, determine if the piecewise-defined function is dif- ferentiable at the origin. S 2x – 1, (2r 41. f(x) = Lx² + 2x + 7, Sx/3, x > 0 42. g(x) Lx!/3, x< 0 lr!/3 2x + tan x, 43. f(x) = Lx², 2x – x³ – 1, x2 0 44. g(x) = х x + 1'

In Exercises 41–44, determine if the piecewise-defined function is dif- ferentiable at the origin. S 2x – 1, (2r 41. f(x) = Lx² + 2x + 7, Sx/3, x > 0 42. g(x) Lx!/3, x< 0 lr!/3 2x + tan x, 43. f(x) = Lx², 2x – x³ – 1, x2 0 44. g(x) = х x + 1'

Calculus: Early Transcendentals
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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In Exercises 41–44, determine if the piecewise-defined function is dif- ferentiable at the origin. S 2x – 1, (2r 41. f(x) = Lx² + 2x + 7, Sx/3, x > 0 42. g(x) Lx!/3, x< 0 lr!/3 2x + tan x, 43. f(x) = Lx², 2x – x³ – 1, x2 0 44. g(x) = х x + 1'
Transcribed Image Text:In Exercises 41–44, determine if the piecewise-defined function is dif- ferentiable at the origin. S 2x – 1, (2r 41. f(x) = Lx² + 2x + 7, Sx/3, x > 0 42. g(x) Lx!/3, x< 0 lr!/3 2x + tan x, 43. f(x) = Lx², 2x – x³ – 1, x2 0 44. g(x) = х x + 1'
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