Consider a function $f(x,y)at$ the point $(2,3).$

$At$ that point the function has directional derivatives:

$\frac{2}{\sqrt[\phantom{2}]{18}}in$ the direction $(parallelto)($:$3,3$:$),$ and

$\frac{3}{\sqrt[\phantom{2}]{20}}in$ the direction $(parallelto)($:$2,4$:$).$

The gradient $offat$ the point $(2,3)is$