Derivative of Cosine Function/Corollary
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Corollary to Derivative of Cosine Function
- $\map {\dfrac \d {\d x} } {\cos a x} = -a \sin a x$
Proof
\(\ds \map {\dfrac \d {\d x} } {\cos x}\) | \(=\) | \(\ds -\sin x\) | Derivative of $\cos x$ | |||||||||||
\(\ds \leadsto \ \ \) | \(\ds \map {\dfrac \d {\d x} } {\cos a x}\) | \(=\) | \(\ds -a \sin a x\) | Derivative of Function of Constant Multiple |
$\blacksquare$