A differentiable function h satisfies h'(x)= cases 3,& x-1

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

Problem

A differentiable function h satisfies

h'(x)= \begin{cases} 3,& x<-1,\\ -4,& x>-1. \end{cases}

Determine whether h is increasing or decreasing on

(-\infty,-1)

and on

(-1,\infty)