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Math Help - Finding derivatives of a function

  1. #1
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    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.

    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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  2. #2
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    Quote Originally Posted by fabxx View Post
    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
    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)
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  3. #3
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    Ah I forgot the 4.

    Can you help me check again if its correct (the attachment)
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  4. #4
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    Yes, that is correct.
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