Question

f(x) = 1/(sqrt[x+2]); find f'(a) ?

Answer 1

\[\large (x+2)^{-\frac12}\]

Answer 2

Now find the derivative.

Answer 3

\[\Large -\frac12 (x+2)^{-\frac12 -1}\]

Answer 4

\[\Large -\frac12 (x+2)^{ - \frac32}\]Finally,
\[\Large-\frac{1}{2(x+2)^\frac32}\]