f(x,y)=(x/(y^2)) + xy whats the partial derivatives for this function?

Question

amistre64 · Answer

derive with respect to x; then derive with respect to y ...

amistre64 · Answer

when working with respect to x; consider y to be a constant; and same concept for with respect to y

anonymous · Answer

i got this but im not sure its correct.. fx(x,y) = (y^2/ y^4 ) + y and fy(x,y)=-1/2(y^2)^(-1/2) . 2y + x

amistre64 · Answer

$$f(x,y)=xy^{-2} + xy$$
$$f_x(x,y)=y^{-2} + y$$
$$f_y(x,y)=-2xy^{-3} +x$$
if i see it right

amistre64 · Answer

treat the "other" variables as tho they were just a constant

anonymous · Answer

thank you ! i skipped the function "transformation" to xy^-2..

anonymous · Answer

i cant find the good answer button and ive tried 3 different browsers lol what am i doing wrong