Find the values of a and b such that f(x) is differentiable everywhere and compute f′(x).

Question

Let f(x)={3ax+b, if x>/=0

e^(1/x)+x+3, if x<0

(a) Find the values of a and b such that f(x) is differentiable everywhere and compute f′(x).

(b) Is the function f ′ (x) differentiable everywhere? Compute f ′′ (x) where it is in part (a) defined.

Answer 1

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