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Taylor expansion with symbolic toolbox

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insaf
insaf on 29 Apr 2019
Answered: Ayush Modi on 18 Sep 2024 at 18:11
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

Answers (1)

Ayush Modi
Ayush Modi on 18 Sep 2024 at 18:11
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:

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