Derivative of Cosine Function/Corollary

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

$\blacksquare$


Also see

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