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difference quotient
[difference quotient|difference quotient] is a difference quotient with increment h when h 4 0 is chosen so that a+h isin J.
Definition
difference quotient is a difference quotient with increment h when h 4 0 is chosen so that a+h isin J. It is used to calculate the derivative by finding the limit of the difference quotient.
Mechanism
difference quotient The slope of a secant line to a function at a value a is calculated using a difference quotient with increment h, replacing x with a+h. This equation represents the slope of the line defined by the difference quotient formula.
Examples
difference quotient In this case, the secant line's slope is calculated using the difference quotient with increment h, as shown in the given example.