Derivative of Sine Function/Corollary

Corollary to Derivative of Sine Function

$\map {\dfrac \d {\d x} } {\sin a x} = a \cos a x$


Proof

\(\ds \map {\dfrac \d {\d x} } {\sin x}\) \(=\) \(\ds \cos x\) Derivative of $\sin x$
\(\ds \leadsto \ \ \) \(\ds \map {\dfrac \d {\d x} } {\sin a x}\) \(=\) \(\ds a \cos a x\) Derivative of Function of Constant Multiple

$\blacksquare$


Also see

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