SamverkanFlervariabelanalysLIU

a) \displaystyle f'_x=2xe^{x^2}\arctan (xy)+e^{x^2}\frac{y}{1+(xy)^2}, \displaystyle f'_y=e^{x^2}\frac{x}{1+(xy)^2}

b) \displaystyle f'_x=yx^{y-1}, \displaystyle f'_y=x^y \ln x,

c) \displaystyle f'_x=-\frac{yz}{x^2+y^2}, \displaystyle f'_y=\frac{xz}{x^2+y^2}, \displaystyle f'_z=\arctan\frac{y}{x}.