Question

Use the definition of derivative as a limit to compute f'(2) for the function f(x)=square root of x+2.

Answer 1

\[f'(x) = \lim_{h \rightarrow 0}\frac{f(x+h)-f(x)}{h}\]

Answer 2

is the answer 1/4?

Answer 3

yes it is

Answer 4

\[f'(2) = \lim_{h \rightarrow 0}\frac{f(2+h)-f(2)}{h}=\lim_{h \rightarrow 0}\frac{\sqrt{4+h}-2}{h}\]