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\begin{document}

\begin{align*}
\left(C\right)' &=0 & \left(x^{\alpha}\right)' &= \alpha x^{\alpha-1} 
& \left(\sin\right)' &=\cos & \left(\cos\right)' &= -\sin\\
\left(a^{x}\right)' &= a^{x}\ln a & \left(e^{x}\right)' &= e^{x} &
\left(\log_{a}x\right)' &= \frac{1}{x\ln a} & \left(\ln x\right)' 
  &= \frac{1}{x}
\end{align*}

\end{document}