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The secant gives an average rate across an interval. The derivative, where it exists, gives the instantaneous rate at the point and the corresponding tangent slope.

Conditions: The derivative must exist at the point for the instantaneous rate to be defined.

The secant gives an average rate across an interval. The derivative, where it exists, gives the instantaneous rate at the point and the corresponding tangent slope.

Conditions: The derivative must exist at the point for the instantaneous rate to be defined.