taylortool

Taylor series calculator

Syntax

taylortool

taylortool(f)

Description

taylortoolinitiates a GUI that computes the Taylor series expansion. The GUI that graphs a function against the Nth partial sum of its Taylor series about a base pointx = a. The default function, value of N, base point, and interval of computation fortaylortoolaref = x*cos(x),N = 7,a = 0, and[-2*pi,2*pi], respectively.

example

taylortool(f)initiates the GUI that computes the Taylor series expansion of the given expressionf.

Examples

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Find Taylor Series Expansion of Function

Open Live Script

打开一个GUI计算Taylor series expansion. By default, the GUI shows the Taylor series expansion of the functionf(x) = x*cos(x). The blue solid line shows the functionf(x)and the red dashed line shows its Taylor approximation.

taylortool

Figure Taylor Tool contains an axes object and other objects of type uipanel. The axes object with title Taylor Series Approximation contains 2 objects of type line.

Next, find the Taylor series expansion of the functioncos(x).

symsxtaylortool(cos(x))

Figure Taylor Tool contains an axes object and other objects of type uipanel. The axes object with title Taylor Series Approximation contains 2 objects of type line.