# Derivative of Sine Function/Corollary

(Redirected from Derivative of Sine of a x)

## 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

$\blacksquare$