Question

what is gradient of a scalar function

Answer 1

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

Answer 2

Answer:

Explanation:

Gradient of a scalar function:

A scalar function's (or field's) gradient is a vector-valued function headed in the direction of the function's quickest increase and with a magnitude equal to that direction's fastest increase. The symbol is used to represent it (called nabla, for a Phoenician harp in greek).

As a result, the gradient is a directional derivative.

The temperature variation inside a room is an example of a gradient. Because temperature is a scalar number, we can describe it mathematically as a function f. (x,y,z). The f function returns a number for any point (x,y,z) in the room (the temperature in this point).

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