[b][u]Instructions[/u]:[/b][br]1. Click the "[b]Play[/b]" button below.[br] (a) Observe what happens[br]2. Check the checkboxes.[br] (a) Observe what happens.

[b][u]Instructions[/u]:[/b][br]1. Create a graph [color=#ff0000]f(x)=sin(x)[/color].[br] a. Type “ [color=#0000ff]sinx[/color] ” into the Algebra input bar.[br]2. Create a graph [color=#ff0000]g(x)=cos(x)[/color].[br] a. Type “ [color=#0000ff]cosx[/color] ” into the Algebra input bar.[br]3. Create a checkbox to show/hide [color=#ff0000]g[/color].[br]4. Hide [color=#ff0000]g[/color].[br]5. Create the graph [color=#ff0000]f'(x)[/color].[br] a. Type “ [color=#0000ff]Derivative(f)[/color] ” into the Algebra input bar.[br]  [b]Note:[/b] Derivative( {function} )[br]6. Create a point [color=#ff0000]A[/color] on [color=#ff0000]f[/color].[br]7. Create a point [color=#ff0000]B[/color] on [color=#ff0000]f'(x)[/color] that follows [color=#ff0000]A[/color].[br] a. Type “ [color=#0000ff](x(A), f'(x(A)))[/color] ” in the Algebra input box. [br]8. Hide [color=#ff0000]f'[/color].[br]9. Show trace for point [color=#ff0000]B[/color].[br]10. [color=#38761d][optional][/color] Show [color=#ff0000]f'[/color]. [i](see trace compared to full graph)[/i][br]11. Turn animation on for point [color=#ff0000]A[/color].[br]12. Show [color=#ff0000]g[/color]. [i](compared derivative of [color=#ff0000]f[/color] to [color=#ff0000]g[/color])[/i]