Solution
Given
f(x) = x2
We have to find \(\frac{f(2+h) – f(2)}{h}\) so,
f(2+h) = (2+h)2 = 4 + 4h + h2
f(2) = 4
Now,
\( = \frac{f(2+h) – f(2)}{h}\)
\(= \frac{4 + 4h + h^2 – 4}{h} \)
\(= \frac{h(4 + h)}{h} \)
= 4 + h
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