Derivative of Identity Function/Corollary

Corollary to Derivative of Identity Function

$\map {\dfrac {\d} {\d x} } {c x} = c$

where $c$ is a constant.

Proof

 $\ds \map {\frac \d {\d x} } {c x}$ $=$ $\ds c \frac \d {\d x} x$ Derivative of Constant Multiple $\ds$ $=$ $\ds c \times 1$ Derivative of Identity Function $\ds$ $=$ $\ds c$

$\blacksquare$