A function f is said to be differentiable from the left if exists, and a function f is sa...

A function f is said to be differentiable from the left if exists, and a function f is said to be differentiable from the right if exists. In Exercise, a piecewise-defined function is given. Complete the following.

(a) Determine if f is differentiable from the left at x = a. If so, state the derivative’s value.

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(b) Determine if f is differentiable from the right at x = a. If so, state the derivative’s value.

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(c) Determine if f′ (a) exists.