Derivative of Sine Function/Corollary

From ProofWiki
Jump to navigation Jump to search

Corollary to Derivative of Sine Function

$D_x \left({\sin a x}\right) = a \cos a x$


Proof

\(\displaystyle D_x \left({\sin x}\right)\) \(=\) \(\displaystyle \cos x\) Derivative of $\sin x$
\(\displaystyle \implies \ \ \) \(\displaystyle D_x \left({\sin a x}\right)\) \(=\) \(\displaystyle a \cos a x\) Derivative of Function of Constant Multiple

$\blacksquare$


Also see