Derivative of Identity Function/Corollary

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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
\(\ds \) \(=\) \(\ds c\)

$\blacksquare$


Sources