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Mathematics
Mathematics
Problem
Prove from first principles that
d
d
x
[
c
f
(
x
)
]
=
c
f
′
(
x
)
\dfrac{d}{dx}\,[c\,f(x)]=c\,f'(x)
d
x
d
[
c
f
(
x
)]
=
c
f
′
(
x
)
, where
c
c
c
is a constant and
f
(
x
)
f(x)
f
(
x
)
is differentiable at
x
x
x
.
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