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\[y = \sqrt{x-2}\] @ (3,1)

For example:
I got \[(\sqrt{(3+h)-2} - \sqrt{3-2})/h\]

When expanded, i got, \[(\sqrt{1+h} - 1)/h\]

That is the derivative at a point using the limit right?

First Prinicipals is:
\[Limit h->0 (f(x+h) - f(x)) \div h\]

\[\frac {dy}{dx} = \lim_{h \rightarrow 0} \frac { \sqrt {x + h -2} - 1}{h}\]

\[\frac {dy}{dx} = \lim_{h \rightarrow 0} \frac { \sqrt { h + 1} - 1}{h}\]

Do you need help solving that limit?

You'll see that it becomes solvable after you carry that out. :)

flutter my life. I forgot rationalizing the numerator. THANK YOU SO MUCH.

Haha, don't worry, it'll stick in your head after you've had some practice.
Good luck :)

Many many thanks man :)