the gradient vs the gradients

Both 'the gradient' and 'the gradients' are correct, but they are used in different contexts. 'The gradient' is singular and refers to the rate of change of a function at a particular point, while 'the gradients' is plural and refers to multiple rates of change or slopes.

Last updated: March 28, 2024 • 805 views

the gradient

This phrase is correct and commonly used in mathematics and physics to refer to the rate of change of a function at a specific point.

Use 'the gradient' when referring to the rate of change of a function at a particular point. It is singular and specific.

Examples:

Calculate the gradient of the function at x=2.
The gradient of the curve at that point is positive.
She studied the gradient of the slope to understand its steepness.

Alternatives:

the slope
the rate of change
the derivative

the gradients

This phrase is correct and used when referring to multiple rates of change or slopes in a mathematical or physical context.

Use 'the gradients' when discussing multiple rates of change or slopes. It is the plural form of 'the gradient'.

Examples:

She compared the gradients of the different functions.
The teacher explained the gradients of the lines on the graph.
The gradients of the curves varied significantly.

Alternatives:

the slopes
the rates of change
the derivatives

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the gradient vs the gradients

the gradient

the gradients

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