Question: what is the difference quotient of a function?
Answer: The difference quotient is the quotient of the difference of the function values, f(x + h) - f(x), and the difference of the input values, (x + h) - x. Given a function f(x) and two input values, x and x + h, the difference quotient can be found with the following formula: (f(x + h) - f(x))/h.