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Mathematics
Mathematics
Problem
If
f
(
x
+
y
)
=
f
(
x
)
f
(
y
)
f(x+y)=f(x)f(y)
f
(
x
+
y
)
=
f
(
x
)
f
(
y
)
for all
x
,
y
∈
R
x,y\in\mathbb{R}
x
,
y
∈
R
and
f
(
5
)
=
2
f(5)=2
f
(
5
)
=
2
,
f
′
(
0
)
=
3
f'(0)=3
f
′
(
0
)
=
3
, then using the definition of derivatives, find
f
′
(
5
)
f'(5)
f
′
(
5
)
.
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