In this Interactive Figure, you first define a function [math]f\left(x,y\right)[/math]. Then you can see the Taylor polynomial approximation to [math]f\left(x,y\right)[/math] by selecting a point and the degree of the Taylor polynomial.

[b]Zoom[/b], [b]Rotate[/b], and [b]Pan[/b]: For the left pane, the mouse scroll wheel will zoom the image in and out, and dragging the background will rotate the image. [b]Shift+Drag[/b] will pan the image, and [b]Shift+Click[/b] will change the direction of panning. You should experiment with these controls.

[i]This applet was developed for use with [url=https://www.pearson.com/en-us/subject-catalog/p/interactive-calculus-early-transcendentals-single-variable/P200000009666]Interactive Calculus[/url], published by Pearson.[/i][br]