Taylor expansion with symbolic toolbox

Hello everyone,

I want to know how to do an approximation by the first and the second terms of Taylor expansion to symbolic expression, as for the expression below. How could I do that!

thank you for your help

Answer 1

[Ayush Modi]

Hi Insaf,

I am assuming, you want to find the approximate with the Taylor series expansion of f up to the second order.

You can achieve this using "taylor" function. Here is the sample code for your reference:

syms x(theta) alpha r a
f = x(theta) + alpha * (r + x(theta))^a

taylor_expansion = taylor(f, 'Order', 2)

Refer to the following documentation for more information on "taylor" function:

https://www.mathworks.com/help/symbolic/sym.taylor.html