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Taylor polynomials in two variables

In this Interactive Figure, you first define a function . Then you can see the Taylor polynomial approximation to by selecting a point and the degree of the Taylor polynomial.
Zoom, Rotate, and Pan: For the left pane, the mouse scroll wheel will zoom the image in and out, and dragging the background will rotate the image. Shift+Drag will pan the image, and Shift+Click will change the direction of panning. You should experiment with these controls.