# Two-variable Taylor polynomial

- Author:
- Alfredo Sánchez Alberca

- Topic:
- Calculus

This applet illustrates the approximation of a two-variable function with a Taylor polynomial at a point .

- Set the point
where to approximate the function using the sliders. - 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 . - 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
.

Get more information about Taylor polynomials for several-variables functions at http://aprendeconalf.es.