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Mathematics
Problem
Which of the following conditions ensures that a differentiable function
f
f
f
is strictly decreasing on an interval
(
a
,
b
)
(a,b)
(
a
,
b
)
? a)
f
′
(
x
)
≤
0
f'(x) \leq 0
f
′
(
x
)
≤
0
for all
x
∈
(
a
,
b
)
x \in (a,b)
x
∈
(
a
,
b
)
b)
f
′
′
(
x
)
<
0
f''(x) < 0
f
′′
(
x
)
<
0
for all
x
∈
(
a
,
b
)
x \in (a,b)
x
∈
(
a
,
b
)
c)
f
′
(
x
)
<
0
f'(x) < 0
f
′
(
x
)
<
0
for all
x
∈
(
a
,
b
)
x \in (a,b)
x
∈
(
a
,
b
)
d)
f
′
(
x
)
=
0
f'(x) = 0
f
′
(
x
)
=
0
for all
x
∈
(
a
,
b
)
x \in (a,b)
x
∈
(
a
,
b
)
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