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Math Help - determine f'( x )

  1. #1
    Junior Member
    Joined
    Sep 2009
    Posts
    56

    determine f'( x )

    If , determine .

    2^(1/2) but it wrongs

    5lnx/x but it wrongs

    help?
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  2. #2
    Senior Member
    Joined
    Dec 2008
    Posts
    319
    To calculate these derivatives we use the Power Rule and the Chain Rule:

    \begin{aligned}<br />
\frac{d}{dx}x^n&=nx^{n-1}\\<br />
\frac{d}{dx}f(g(x))&=f'(g(x))g'(x).<br />
\end{aligned}

    For example,

    \frac{d}{dx}(\ln x)^5=5(\ln x)^4\frac{d}{dx}\ln x.
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