Determine if the following piecewise-defined function is differentiable at the origin.9х - 4x3-7, х20f(x) = .72х—x+1'x<0.....f(0 + h) - f(0)f(0 + h) - f(0)The functiondifferentiable at the origin because the limits limand limarehh→0*h→0

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Answered: Determine if the following…

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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Determine if the following piecewise-defined function is differentiable at the origin. 9x - 4x - 7, x20 f(x) = { 7 2x- x+1' x<0 .... f(0 + h) – f(0) f(0 + h) – f(0) The function differentiable at the origin because the limits lim and lim are h h-0* h-0