Identify the correct expression for the average rate of change of a function between…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Identify the correct expression for the average rate of change of a function

y=f(x)

between

x=x_1

and

x=x_2

(

x_2>x_1

). (a)

\dfrac{f(x_2)-f(x_1)}{x_1 x_2}

(b)

f'(x_2)-f'(x_1)

(c)

\dfrac{f(x_2)-f(x_1)}{x_2-x_1}

(d)

\dfrac{f(x_2)+f(x_1)}{x_2-x_1}