Question

find df/dy of f(x,y) =x^y. anyone helps me, please

Answer 1

Take log...it will help u

Answer 2

f = x^y

log f = y log x

1/f df/dy = y * 1/x dx/dy + log x

Answer 3

it's partial derivative, still apply?

Answer 4

can I do dy/dx =1/dx/dy =1/y(x)^(y-1)?

Answer 5

\[f(x,y)=f=x^y\\
{\partial f\over\partial y}=?\\
\ln f=y\ln x\\
{1\over f}{\partial f\over\partial y}=\ln x\\
\implies{\partial f\over\partial y}=x^y\ln x
\]

Answer 6

another hint.. x is const with respect to 'y'
so, it is d/dx(a^x)

Answer 7

@Hoa cheers :)

Answer 8

I got it. so, my argue is wrong, right?

Answer 9

sadly yes..

Answer 10

LOL, thanks... crazy thinking me!!!