# Finding derivatives of a function

#### 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.

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
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 $$\displaystyle g'(3)$$

#### fabxx

Ah I forgot the 4.

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

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#### HallsofIvy

MHF Helper
Yes, that is correct.

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