TaylorPolynomial Command
From GeoGebra Manual
Revision as of 11:14, 22 July 2011 by Alexander Hartl (talk | contribs)
- TaylorPolynomial[Function, Number a, Number n]
- Creates the power series expansion for the given function about the point x = a to order n.
- Example:
TaylorPolynomial[x^2, 3, 1]
gives 6 x - 9, the power series expansion of x2 at x = 3 to order 1.
- Example:
TaylorPolynomial[x^2, a, 1]
gives -a2 + 2 a x, the power series expansion of x2 at x = a to order 1.
- TaylorPolynomial[Function, Variable, Number a, Number n]
- Creates the power series expansion for the given function of the given variable about the point Variable = a to order n.
- Example:
TaylorPolynomial[x^3 sin(y), x, 3, 2]
gives sin(y) (9 x2 - 27 x + 27), the power series expansion of x of x3 sin(y) at x = 3 to order 2.
- Example:
TaylorPolynomial[x^3 sin(y), y, 3, 2]
gives (cos(3) x3 (2 y - 6) + sin(3) x3 (-y2 + 6 y - 7)) / 2, the power series expansion of y of x3 sin(y) at y = 3 to order 2.
Note: The order n has got to be an integer greater or equal to zero.