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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
n
f(x) = x^n
f
(
x
)
=
x
n
,
n
n
n
being a non-negative integer. The value of
n
n
n
for which the equality
f
′
(
x
+
y
)
=
f
′
(
x
)
+
f
′
(
y
)
f'(x+y) = f'(x) + f'(y)
f
′
(
x
+
y
)
=
f
′
(
x
)
+
f
′
(
y
)
is valid for all
x
,
y
>
0
x, y > 0
x
,
y
>
0
, is a. 0, 1 b. 1, 2 c. 2, 4 d. None of these
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