This interactive figure allows you to explore the geometric interpretation of the derivative (slope of tangent line) for a curve defined by parametric equations. [br][br]Input parametric equations. Then, [color=#0000ff][b]input any [i]t-[/i]value[/b][/color] between [i]tmin [/i]and [i]tmax[/i] to yield a point [math](x(t),y(t))[/math]. This figure will then display [color=#38761d][b]the derivative, [i]dy[/i]/[i]dx[/i][/b][/color], at the indicated point on the curve defined by these parametric equations. (You can also use the [color=#0000ff][b]blue slider [/b][/color]to change the values of [i][color=#0000ff][b]t[/b][/color][/i]).

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]