Gradient is a scalar function. The magnitude of the gradient is equal to the maxium rate of change of the scalar field and its direction is along the direction of greatest change in the scalar function.

Is the gradient of a scalar a vector?

The gradient of a scalar field is a vector field and whose magnitude is the rate of change and which points in the direction of the greatest rate of increase of the scalar field. ... Gradient is a vector that represents both the magnitude and the direction of the maximum space rate of increase of a scalar.

Is gradient only for scalar?

The gradient is most often defined for scalar fields, but the same idea exists for vector fields - it's called the Jacobian. Taking the gradient of a vector valued function is a perfectly sensible thing to do.