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).
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).
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F968fdb81-227b-4b4e-94bf-17b5ba32dbe1%2F2c8c224c-32df-4dbc-a5d3-90453e3f4264%2Fdhqxt78_processed.png&w=3840&q=75)
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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