# Math Help - determine f'( x )

1. ## determine f'( x )

If , determine .

2^(1/2) but it wrongs

5lnx/x but it wrongs

help?

2. To calculate these derivatives we use the Power Rule and the Chain Rule:

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

For example,

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