Finding the coefficients of a Taylor polynomial

[schniefen]

TL;DR

Consider the equation $x+2y+z+e^{2z}-1=0$. Find the cocoefficients of the Taylor polynomial of degree two of the function $z(x,y)$ about the point $(0,0)$.

To find the coefficients of the Taylor polynomial of degree two of the function $z(x,y)$ around the point $(0,0)$, what would be a handy way of doing that in python? How would one find the derivatives of $z(x,y)$?

 

[Mark44]

Summary: Consider the equation $x+2y+z+e^{2z}-1=0$. Find the cocoefficients of the Taylor polynomial of degree two of the function $z(x,y)$ about the point $(0,0)$.

To find the coefficients of the Taylor polynomial of degree two of the function $z(x,y)$ around the point $(0,0)$, what would be a handy way of doing that in python? How would one find the derivatives of $z(x,y)$?

SimPy will do symbolic differentiation, including partial derivatives. See https://docs.sympy.org/latest/tutorial/calculus.html