taylortool

Taylor series calculator

Syntax

taylortool

taylortool(f)

t = taylortool(___)

Description

taylortool initiates 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 point x = a. The default function, value of N, base point, and interval of computation for taylortool are f = x*cos(x), N = 7, a = 0, and [-2*pi,2*pi], respectively.

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

t = taylortool(___) returns the Figure object. Use t to query or modify properties of the figure after it is created.

Examples

Find Taylor Series Expansion of Function

Open a GUI that computes the Taylor series expansion. By default, the GUI shows the Taylor series expansion of the function $\mathit{f}\left(\mathit{x}\right)=\mathit{x}\cos \left(\mathit{x}\right)$. The blue solid line shows the function $\mathit{f}\left(\mathit{x}\right)$ and the red dashed line shows its Taylor approximation.

taylortool

Next, find the Taylor series expansion of the function $\cos \left(\mathit{x}\right)$. Assign an output variable to taylortool to return the Figure object.

syms x
t = taylortool(cos(x))

t = 
  Figure (Taylor Tool) with properties:

      Number: []
        Name: 'Taylor Tool'
       Color: [0.9400 0.9400 0.9400]
    Position: [108 72 374.4000 302.4000]
       Units: 'points'

  Use GET to show all properties

Close the figure.

close(t)

Input Arguments

f — Input to approximate

symbolic expression | symbolic function

Input to approximate, specified as a symbolic expression or function.

Version History

Introduced before R2006a