Gradient

The gradient of a scalar field is a vector field,

$$\nabla \phi = \frac{\partial \phi }{\partial x}\hat{x}+\frac{\partial \phi }{\partial y}\hat{y}+\frac{\partial \phi }{\partial z}\hat{z}.$$

$ = $\hat{x}$ + $\hat{y}$ + $\hat{z}$ [K/m]