1. Calculate the subdifferential of the following functions. It might be helpful to draw the functions. (a) f₁(x) = ex, where x = R. (b) f2(x) = max(-x, 1+3x), where x = R. (c) f(x)=2f1(x)+4f2(x).

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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1. Calculate the subdifferential of the following functions. It might be helpful to draw the functions.
(a) f1(x) = ex, where x = R.
(b) f2(x) = max(−x, 1+3x), where x = R.
(c) f(x)=2f1(x)+4f2(x).
Transcribed Image Text:1. Calculate the subdifferential of the following functions. It might be helpful to draw the functions. (a) f1(x) = ex, where x = R. (b) f2(x) = max(−x, 1+3x), where x = R. (c) f(x)=2f1(x)+4f2(x).
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