Finding points within a multi-variable calculus function Consider the following function.
$f (x, y)  =  [(y + 6) ln x] − xe^2y − x(y − 5)5$
(a) Find  $f_x(1, 0)$ .
(b) Find  $f_y(1, 0)$ .
I know that I should separate them into two different equations but I do not know how to separate it. I believe that after that I should plug in the numbers to point into the equations to get the final answer but I do not know how to make them into 2 equation. I could really use them help.

You do not need to separate into different equations, you simply need to take the partial derivatives of $f$ and evaluate them at the same point. Something I found useful when first calculating partial derivatives is to set $g(x)=f(x,c)$ where $c$ is a constant. Then just take the normal derivative of $g$. Do likewise with $y$. You do not need to do this, but I felt it was harder to make mistakes when the other variable is represented by a symbol normally used for constants.
