Recall that f is even if f(-x) = f(x), for all x in the domain of f, and f is odd if f (-x) = -f(x), for all x in the domain of f.

a. If f is a differentiable, even function on its domain, determine whether f' is even, odd, or neither.

b. If f is a differentiable, odd function on its domain, determine whether f' is even, odd, or neither.