# What does the gradient function mean?

The gradient function gives the slope of a function at any single point on its curve.

This video gives a brief explanation:

For instance, if the curve is increasing (i.e. increasing in value as we move from left to right along the graph), then the sign of the gradient function will be positive. Or if the curve has a horizontal slope at a particular point (a "stationary point"), then the gradient function will be equal to zero at that particular point.

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The gradient function, also known as the derivative, represents the rate of change of a function at any given point. It provides information about the slope or steepness of the function's graph at that point. The gradient function is used in calculus to analyze the behavior of functions, find critical points, determine the direction of a curve, and solve optimization problems.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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