Swap between sine and cosine! Move the red point!

Guess the derivative function of [math]f(x)=\sin(ax)[/math] when [math]a=1[/math].[br]Guess the derivative function of [math]f(x)=\sin(ax)[/math] when [math]a\neq 1[/math].[br]Change the slider to the function [math]f(x)=\cos(ax)[/math] by changing the left slider. Guess the derivative function of [math]f(x)=\cos(ax)[/math] when [math]a=1[/math].[br]Guess the derivative function of [math]f(x)=\cos(ax)[/math] when [math]a\neq 1[/math].