Two-variable Taylor polynomial
- Alfredo Sánchez Alberca
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.