Derivative of Arccosine Function

Shown below is a graph of the function [math]f\left(x\right)=cos^{-1}\left(x\right)[/math]. [br][br]Interact with the applet below for a minute by dragging the white point along the arccosine curve. [br][color=#666666][b]The graph of the derivative of this function will be traced out in gray. [/b][/color] [br][br][color=#0000ff]Without looking it up on another tab, [br]use the SAME LOGIC and METHOD OF IMPLICIT DIFFERENTIATION you used in completing[/color] [url=https://www.geogebra.org/m/Bmt2kHQZ]the derivative of the arcsine function worksheet[/url][color=#cc0000] to find the derivative of the arccosine function.[/color] [br][br]After doing so, enter this function into the input box to see how it compares to your [color=#666666][b]gray trace[/b][/color]!
[color=#cc0000][b]After successfully completing this activity, please go to this worksheet & begin: [/b][/color][br][color=#0000ff][b][url=https://www.geogebra.org/m/TCEnNp5h]Derivative of Arctangent Function[/url][/b][/color][br]

Information: Derivative of Arccosine Function