Question

Find the difference quotient of f : f(x+h)-f(x) / h

a) f(x+h)−f(x) / h
b) f(x)+f(h) / x
c) f(x−h) / f(x)
d) f(x+h) / h

Answer 1

The correct expression for the difference quotient is: (f(x+h)-f(x))/h.

Step-by-step explanation:

The difference quotient is a mathematical expression that represents the average rate of change of a function over a small interval. It is calculated by subtracting the value of the function at two points, dividing by the difference in the x-coordinates, and taking the limit as the interval approaches 0. The correct expression for the difference quotient is:

a) (f(x+h)-f(x))/h