Mathematics

Problem

The function

f

is continuous everywhere and satisfies

f(x)>0

for

1<x<5

and

f(x)<0

for

5<x<8

. Let

F

be an antiderivative of

f

with

F(1)=0

. Identify the type of critical point (local maximum, local minimum, or neither) that

F

has at

x=5