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Mathematics
Mathematics
Problem
The derivative of a function
f
f
f
satisfies •
f
′
(
x
)
>
0
f'(x)>0
f
′
(
x
)
>
0
for
x
<
−
2
x<-2
x
<
−
2
•
f
′
(
x
)
<
0
f'(x)<0
f
′
(
x
)
<
0
for
−
2
<
x
<
4
-2<x<4
−
2
<
x
<
4
•
f
′
(
x
)
>
0
f'(x)>0
f
′
(
x
)
>
0
for
x
>
4
x>4
x
>
4
State the intervals on which
f
f
f
is (i) increasing and (ii) decreasing.
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