Shown below is a graph of the function [math]f\left(x\right)=tan^{-1}\left(x\right)[/math][br][br]Interact with the applet below for a minute by dragging the white point along the arctangent 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=#0000ff]and the[/color] [url=https://www.geogebra.org/m/CyfGg78P]derivative of the arccosine function[/url] [color=#0000ff]worksheet to find the derivative of the inverse tangent 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]!