Thread: first partial derivatives

Find the first partial derivatives of at the point (x,y) = (2, 2).

\frac{\partial f}{\partial x}(2,2) =__
\frac{\partial f}{\partial y}(2,2)=__

I need help solving this problem.

Originally Posted by viet

I need help solving this problem.

When you take a partial derivatives with respect to a variable, you treat all other variables as constants.





Use the quotient rule:








Again use the quotient rule:





Now plug in the points given in the question.