# Thread: Finding derivatives of a function

1. ## Finding derivatives of a function

The problem is g(x)= f(square root f(x)+4) I hand wrote the problem and my work and attached it to avoid any confusion.

More importantly, any tips when dealing with these kind of problem? I had trouble with this at first. Thank you

2. Originally Posted by fabxx
The problem is g(x)= f(square root f(x)+4) I hand wrote the problem and my work and attached it to avoid any confusion.

More importantly, any tips when dealing with these kind of problem? I had trouble with this at first. Thank you
$g(x) = f[\sqrt{f(x)+4}]$

$g'(x) = f'[\sqrt{f(x)+4}] \cdot \frac{f'(x)}{2\sqrt{f(x)+4}}$

evaluate $g'(3)$

3. Ah I forgot the 4.

Can you help me check again if its correct (the attachment)

4. Yes, that is correct.