Question

lim h->0 1/(sqrt x+h+2) +(sqrt x+2)
find f'(x)

Answer 1

looks like you are one step away

Answer 2

lim goes to 1/sqrt(x+2)+sqrt(x+2), I suspect you mistyped something

Answer 3

replace h by 0 and you get
\[\frac{1}{2\sqrt{x+2}}\]

Answer 4

which is another way of saying that if
\[f(x)=\sqrt{x+2}\] then
\[f'(x)=\frac{1}{2\sqrt{x+2}}\]

Answer 5

which i am guessing is the original question

Answer 6

kk great thx