answer the question d in python,please

2. Let us define f(x,y)=x2+y2xy(x2y2) a. Verify that xf=(x2+y2)2y(x4y4+4x2y2). b. Argue by symmetry that we must have yf=(x2+y2)2x(x4y44x2y2). c. Now consider the function g1:tfx(0,t). Differentiate this with respect to t to find fxy(0,0). Similarly, consider the function g2:sfy(s,0) and use it to find fyx(0,0). d. Why do your answers to the above question not violate the Clairaut-Schwarz theorem? You may wish to present computer visualisations drawn in iPython or some other software package