The [b]slope of the curve[/b] [math]y=f(x)[/math] at the point [math](x_0,f(x_0))[/math] is the number found by evaluating the limit of the quotient [math]\frac{f(x_0+h)-f(x_0)}{h}[/math] as [i][math]h[/math][/i] approaches zero (provided it exists). The [i]tangent line[/i] to the curve at [math]P[/math] is the line through [math]P[/math] with this slope.[br][br]Enter a function of your choosing in the [u]input box[/u] and explore the various slopes.

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