Determine if the following piecewise-defined function is differentiable at the origin. f(x) =< 6x-4x³ -22, x ≥ 0 3x- 22 X+1' x<0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 4E: Find the derivative of each function defined as follows. y=5x4+9x3+12x2-7x
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Determine if the following piecewise-defined function is differentiable at the origin.
f(x) =
6x-4x³-22, x≥0
22
X+1'
3x-
x < 0
Transcribed Image Text:Determine if the following piecewise-defined function is differentiable at the origin. f(x) = 6x-4x³-22, x≥0 22 X+1' 3x- x < 0
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