# Two-variable Taylor polynomial

Topic:
Calculus
This applet illustrates the approximation of a two-variable function with a Taylor polynomial at a point .
1. Set the point where to approximate the function using the sliders.
2. Check the box First degree Taylor polynomial to plot the Taylor polynomial of order 1 and to compute its formula. Observe that the graph of this polynomial is the tangent plante to the graph of at .
3. Check the box Second degree Taylor polynomial to plot the Taylor polynomial of order 2 and to compute its formula. Observe that this polynomial approximates better the function than the first degree Taylor polynomial near .
Enter another function and repeat the previous steps.