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Subjects>Math>Calculus

What is gradient formula?

Anonymous

∙ 12y ago

Updated: 4/28/2022

Assume you want to know what is the formula of the gradient of the function in multivariable calculus.

Let F be a scalar field function in n-dimension. Then, the gradient of a function is:

∇F = <fx1 , fx2, ... , fxn>

In the 3-dimensional Cartesian space:

∇F = <fx, fy, fz>

Wiki User

∙ 12y ago

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Continue Learning about Calculus

How do you calculate the slope of a graph?

Using limits and the basic gradient formula: rise/run.

What is the correct definition of stream gradient?

A stream gradient is the grade measure by the ratio of drop in elevation of a stream. It is expressed as feet per mile.

How do you find the gradient of y equals 2x plus 3?

It's 2. your equation is y=mx+b, so the gradient, or slope, is the "m" in the equation.

What is meant by negative gradient of a quantity?

The gradient of a quantity is the greatest rate at which it changes as you move in different directions from where you are now. If the quantity has a negative gradient, that means that the quantity decreases in that direction. A great example of a negative gradient is the elevation of the land at a point on a road that has a hill on one side and a cliff on the other side. The greatest rate at which the elevation changes is in the direction off the edge of the cliff, and it's negative in that direction.

What is the steepness of a line graph called?

It is sometimes called the gradient.

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