Problem 4. Define the function f : R → R by f (x) = max{0, x}. For each a ∈ R, determineif f is differentiable at a and prove your answer

Question

Problem 4. Define the function f : R → R by f (x) = max{0, x}. For each a ∈ R, determineif f is differentiable at a and prove your answer
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Solution 1

The function f(x) = max{0, x} is also known as the ReLU (Rectified Linear Unit) function in machine learning. It is defined as f(x) = 0 for x < 0 and f(x) = x for x >= 0.

To determine if f is differentiable at a, we need to check if the derivative exists at that point.

  1. For a < 0, f(x) = 0, whic Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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