Here is how the difference quotient is used to define the first partial derivatives of f(x,y) at (1,3).
Here's the question:
"Use difference quotients with delta(x)=0.1 and delta(y)=0.1 to estimate fx(1,3) and fy(1,3) where f(x,y)=e^(-x)sin(y)."
My work so far:
I know that to begin with, you have to find the partial derivative with respect to both x and y and then plug the point (1,3) into this equation. So for x the derivative would be -1e^(-x)sin(y) and for y the derivative would be e^(-x)cos(y). Now, what do I do after I plug the point (1,3) into these two equations? Any help would be appreciated.