Question

Find the difference quotient of f(x) = 2x/x³.
a) 1/x²
b) 1/x
c) 2/x²
d) 2/x³

Answer 1

To find the difference quotient of the function f(x) = 2x/x³, substitute (x+h) in place of x, subtract f(x), and divide by h.

Step-by-step explanation:

The difference quotient of f(x) = 2x/x³ is found by substituting (x+h) in place of x in the given function, subtracting f(x), and dividing by h. So the difference quotient is [(2(x+h)/(x+h)³) - (2x/x³)] / h. Simplifying this expression will lead to the correct answer.