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If for all ,
MATHEMATICS · Single correct
Problem
If
f
(
x
y
)
=
f
(
x
)
f
(
y
)
f\left(\frac{x}{y}\right)=\frac{f(x)}{f(y)}
f
(
y
x
)
=
f
(
y
)
f
(
x
)
for all
x
,
y
∈
R
x,y\in\mathbb{R}
x
,
y
∈
R
,
y
≠
0
y\ne0
y
=
0
, and
f
′
(
x
)
f'(x)
f
′
(
x
)
exists for all
x
x
x
, with
f
(
2
)
=
4
f(2)=4
f
(
2
)
=
4
, then
f
(
5
)
f(5)
f
(
5
)
is (1) 3 (2) 5 (3) 25 (4) None of the above
Related theory
Derivative Foundations
Functions
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