The derivative is zero at

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The derivative

h'(x)

is zero at

x=-2,\,1,\text{ and }4

. It is positive for

x<-2

, negative for

-2<x<1

, positive for

1<x<4

, and negative for

x>4

. On which interval is the original function

h

increasing? (a)

(-2,4)

(b)

(4,\infty)

(c)

(1,4)

(d)

(-2,1)