# Derivative of Sine Function/Corollary

< Derivative of Sine Function(Redirected from Derivative of Sine of a x)

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## 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 |

$\blacksquare$