suppose that $\displaystyle f$ is a differentiable function with the derivative $\displaystyle f'(x)=(x+1)(x-2)(x+6)$. find all the critical numbers of f and determine whether each corresponds to a local maximum, a local minimum, or neither.
suppose that $\displaystyle f$ is a differentiable function with the derivative $\displaystyle f'(x)=(x+1)(x-2)(x+6)$. find all the critical numbers of f and determine whether each corresponds to a local maximum, a local minimum, or neither.