Finding derivatives of a function

Sep 2008
222
0
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.

Please help me check if my work is correct.

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

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skeeter

MHF Helper
Jun 2008
16,216
6,764
North Texas
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.

Please help me check if my work is correct.

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

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

evaluate \(\displaystyle g'(3)\)
 
Sep 2008
222
0
Ah I forgot the 4.

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

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