# If f(x) = x2 then find $$\frac{f(2+h) – f(2)}{h}$$

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