Let ƒ : f: R” → R be a function given by ƒ(x1,x2,...,xn) = x².x² …x², where n x² = 1. Show that the maximum of f(x1, x2, ….….,xn) is n¹/¹. k=1 Prove that the impronor integral

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A: Note - According to answering guidelines I will solve the first three parts. Pls post the other…

Q: Let ƒ : R → R, f(x) = x¹/3. Prove that f is not differentiable at 0.

A: Let us solve the given calculus problem in the next step.