Derivative of Sine Function/Corollary
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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 |
$\blacksquare$