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Coding Exercise on Derivatives

Explore the process of calculating second-order derivatives for a complex mathematical function using PyTorch's autograd.grad utility. Understand how to compute first-order derivatives with a preserved computation graph, then differentiate again to obtain higher-order derivatives. This lesson equips you with the skills to implement derivative calculations critical for explainable AI models.

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Problem statement

Given the function f(x)=x2+sin(x1/2)+log(x)+exp(cos(x))f(x) = x^2+ \sin(x^{1/2}) + \log(x) + \exp(\cos(x)) ...