Multivariate Taylor Series Expansion - Maple Help

Multivariate Taylor Series Expansion

 Description Calculate a truncated multivariate Taylor series  expansion up to a specified order for a multivariate function.

Enter the function as an expression.

 > ${\mathrm{cos}}\left({{x}}^{{2}}{+}{{y}}^{{2}}\right)$
 ${\mathrm{cos}}{}\left({{x}}^{{2}}{+}{{y}}^{{2}}\right)$ (1)

Specify the truncation order, and then calculate the truncated Taylor series expansion.

 > $\mathrm{mtaylor}\left(,\left[{x}{,}{y}\right],{5}\right)$
 ${1}{-}\frac{{1}}{{2}}{}{{x}}^{{4}}{-}{{y}}^{{2}}{}{{x}}^{{2}}{-}\frac{{1}}{{2}}{}{{y}}^{{4}}$ (2)
 Commands Used