use the definition of a derivative to find f ' (x)

Question

use the definition of a derivative to find f ' (x)

1.f(x)=√ x−6

2.f(x)= x+1/x

Answer 1

First find f(x+h) for each function, then plug the expressions into:

f'(x) = lim_h->0 (f(x+h) - f(x))/h

Simplify and rearrange until you can find the limit (in other words, until you can plug in h = 0 and get an answer).