Taylor Approximations in Two Variables

first-order

second-order

third-order

(

x

0

,

y

0

)

A surface given by

z=f(x,y)

is plotted, along with the Taylor approximation near a point

(

x

0

,

y

0

)

. Drag the locator to change the point.

External Links

Taylor Series (Wolfram MathWorld)

Permanent Citation

Roy Wright

"Taylor Approximations in Two Variables"
http://demonstrations.wolfram.com/TaylorApproximationsInTwoVariables/
Wolfram Demonstrations Project
Published: March 7, 2011