SamverkanFlervariabelanalysLIU

a) \displaystyle f'_x(x,y)=1+y^3+5x^4y^2, \displaystyle f'_y(x,y)=3xy^2+2x^5y+4y^3

b) \displaystyle f'_x=6xy^3(x^2y^3+y)^2, \displaystyle f'_y=3(3x^2y^2+1)(x^2y^3+y)^2

c) \displaystyle f'_x=\frac{-2y}{(x-y)^2}, \displaystyle f'_y=\frac{2x}{(x-y)^2}.