Answer
In a gradient field of a temperature function $T=f(x,y)$
The gradient field gives us, at each point, the direction in which the temperature increases most radidly and the rate of that increases.
Work Step by Step
In a gradient field of a temperature function $T=f(x,y)$
The gradient field gives us, at each point, the direction in which the temperature increases most radidly and the rate of that increases.
So,
The gradient field =$\Delta T=\Delta f(x,y)$
$\Delta T=\frac{\delta}{\delta x}f(x,y)\hat i +\frac{\delta}{\delta y}f(x,y) \hat j$
