calculus-partial derivatives- not sure if done correctly

[denisa]

Hello, I stack on one problem, please give me a hint, Thank you!
find ∂f/∂x and ∂f/∂y (partial derivatives)

f(x,y)=lny^x


I got this ln(y) and x/y
Did i do it right?

Thank you again, for your time and help!!!!

 

[tkhunny]

Since you wrote "df/dx" twice, it's really very confusing what is wanted.

I presume you used logarithm properties to create f(x,y) = x*log(y)?

If x and y are independent, then you have it. If y = h(x) or x = g(y), then it's another story.

 

[denisa]

I am sorry, i fixed. It ∂f/∂x and ∂f/∂y

 

[tkhunny]

Oh, well, in that case:

I presume you used logarithm properties to create f(x,y) = x*log(y)?

If x and y are independent, then you have it. If y = h(x) or x = g(y), then it's another story.

 

[denisa]

thanks