Let be differentiable at

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Let

f

be differentiable at

x=3

. Which equation expresses that the average rate of change of

f

on the interval

[3,3+h]

equals the instantaneous rate of change at

x=3

? (a)

\dfrac{f(3+h)-f(3)}{h}=f'(3+h)

(b)

\dfrac{f(3+h)-f(3)}{h}=f(3)

(c)

\dfrac{f(3+h)-f(3)}{h}=f'(3)

(d)

\dfrac{f(3+h)-f(3)}{h}=\dfrac{f(3)+f(3+h)}{2}