Question

Please help me do this assignment

Answer 1

(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).

Explanation:

x⁶+3x⁴y⁴+xy⁶

1) df/dx=6x⁵+12x³y⁴+y⁶; d²f/dx²=30x⁴+36x²y⁴;

d²f/(dxdy)=48x³y³+6y⁵ (note, d²f/(dxdy)=d²f/(dydx) !!);

df/dy=12x⁴y³+6xy⁵; d²f/dy²=36x⁴y²+30xy⁴;

2) finally

(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).

Answer 2

I hope this will help you a lot..