A function is defined only for

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

Problem

A function

g

is defined only for

x\ge 2

. To approximate

g'(2)

using nearby function values of

g

, which of the following expressions is MOST appropriate? (Assume

h>0

is small.) (a)

\dfrac{g(2+h)-g(2-h)}{2h}

(b)

\dfrac{g(2+h)-g(2)}{h}

(c)

\dfrac{g(2+h)-g(2)}{2h}

(d)

\dfrac{g(2+2h)-g(2+h)}{h}