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Evolution of Differentiability and Non-Smooth Optimization

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Which of the following best describes how the concept of differentiability evolved following the development of non-smooth optimization techniques in the late 20th century?

A

It has become more restrictive, focusing only on infinitely differentiable functions

B

It has been replaced entirely by discrete approximation methods

C

It has shifted towards emphasizing only directional derivatives in multivariable calculus

D

It has expanded to include generalized notions of derivatives for non-smooth functions

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