A function and its first and second derivatives are given. Use these to find each of the following. f(x) = 3x5 – 20x3 15х2 (х - 2)(х + 2) f"(x) = 60x(x² – 2) f'(x) Find the relative maxima, relative...

Extracted text: A function and its first and second derivatives are given. Use these to find each of the following. f(x) = 3x5 – 20x3 15х2 (х - 2)(х + 2) f"(x) = 60x(x² – 2) f'(x) Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.) relative maxima (х, у) = relative minima (х, у) points of inflection (х, у) %3 (smallest x-value) points of inflection (х, у) — points of inflection (х, у) %— (largest x-value)