Find the value of a that makes the following function differentiable for all values of x. g(x)= if x<0 x²-23x if x ≥0 ax The function g(x) is differentiable for all values of x when a = (Simplify your answer.)

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter2: Functions
Section2.1: Functions
Problem 3E
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Find the value of a that makes the following function differentiable for all values of x.
g(x)=
if x<0
x²-23x if x ≥0
ax
The function g(x) is differentiable for all values of x when a =
(Simplify your answer.)
***
Transcribed Image Text:Find the value of a that makes the following function differentiable for all values of x. g(x)= if x<0 x²-23x if x ≥0 ax The function g(x) is differentiable for all values of x when a = (Simplify your answer.) ***
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