2) Derivatives (a) Prove the differentiability of the following functions over their entire domain and determine the first derivatives: f1(x): R>0 → R with fi(x) = x(a") = for a positive, constant a. (b) Show that the derivative of ⚫ an even function is odd. an odd function is even. f2(x): R>0 → R with f2(x) = x(24)

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