First order derivatives

Question

f(x,y)=xy-5x+2y+3

1. fx

2. fy

3. fxx

4. fyy

5. fyx

6. fxy

Answer 1

f(x,y)=xy-5x+2y+3

1. fx=y-5

2. fy=x+2

3. fxx=0

4. fyy=0

5. fyx=1

6. fxy=1

Answer 2

Take derivative with respect to x treat y as a constant.

Take derivative with respect to y treat x as a constant.

Take derivative with respect to x treat y as a constant then again with respect to x treating y as a constant again.

Take derivative with respect to y treat x as a constant then again with respect to y treating x as a constant again.

Take derivative with respect to y treat x as a constant then again with respect to x treating y as a constant.

Take derivative with respect to x treat y as a constant then again with respect to y treating x as a constant.