Question

1)use the difference quotients

Answer 1

with \[ \Delta x =0.1 \] and \[\Delta y =0.1\] to estimate \[f{x}(2,3)\] and \[f{y}(2,3)\] where f(x,y)=\[e^{-x}\sin(y)\] find \[f{x}(2,3)\approx \] and \[f{y}(2,3)\approx \] help please i am stuck

Answer 2

fx(2,3) ~~ (f(2+deltax,3)-f(2,3))/deltax
fy(2,3) ~~ (f(2,3+deltay)-f(2,3))/deltay

Answer 3

fx(2,3) ~~ (f(2.1,3)-f(2,3))/.1
fy(2,3) ~~ (f(2,3.1)-f(2,3))/.1

Answer 4

@Isbella : Regarding your "help please i am stuck": Would you please be specific about where you feel stuck and what information you need to be able to proceed? Most of all, I'd like to see what you've already done; then I could step in with suggestions regarding what to do next.