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Difference quotient

A difference quotient is the average rate of change of f (x) between x = a and x = a + h and is defined by the expression

 


Explanation

If y = f (xand x changes from a to a + Δx then we define the increment of y as

Δy = f (a + Δx) – f (a)

The definition of a derivate is therefore

 


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