Answer
$\approx 12.2 ; \approx 16.8 ; \approx 23.25$
See below for details.
Work Step by Step
Rate of change in the $x$-direction fo $(x,y) \to (3,2)$ can be calculated as:
$f_x(3,2)=\dfrac{22.4-10.2}{3.5-2.5} \approx 12.2$
Rate of change in the $x$-direction fo $(x,y) \to (3,2.2)$ can be calculated as:
$f_x(3,2.2)=\dfrac{26.1-9.3}{3.5-2.5} \approx 16.8$
Rate of change in the $x$-direction fo $(x,y) \to (3,2)$ can be calculated as:
$f_{xy}(3,2)=\dfrac{(26.1-9.3)-(20.0-12.5)}{2.2-1.8} \approx 23.25$
Therefore, we have $\approx 12.2 ; \approx 16.8 ; \approx 23.25$
