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- TL;DR 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)##?