The derivative of a differentiable function is given by

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The derivative of a differentiable function

f

is given by

f'(x)=2x(x-4)(x+1)

. Identify the

x

–values at which

f

has (a) a local maximum, and (b) a local minimum.