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Difference quotient is related to slope of a line drawn to a graph but its notation is slightly different compared to slope

equation. Difference quotient calculator is the online tool which can give a quick result for the difference quotient.

Given f(x) = 5x + 3 f(x + h) = 5(x + h) + 3

f(x + h) = 5x + 5h + 3

Substituting in the above formula, we get

Difference quotient =

h

Difference quotient = (5x + 5h + 3 – 5x – 3)/ h 5h/h

Given f(x) = 4x – 7 f(x + h) = 4(x + h) - 7

f(x + h) = 4x + 4h - 7

Substituting in the above formula, we get

Difference quotient =

h

Difference quotient = (4x + 4h – 7 – 4x + 7)/ h 4h/h