The derivative of a function is undefined at

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

Problem

The derivative of a function

h

is undefined at

x=5

. For

x<5

h'(x)>0

, and for

x>5

h'(x)<0

. Identify (i) the open interval(s) on which

h

is decreasing and (ii) whether

x=5

is a critical number of

h