der.tex

\begin{tabular}{l|l|l|l}
    \multicolumn{4}{c}{Производные} \\
    \hline
    
    $\displaystyle (c)' = 0$ & 
    $\displaystyle (\sin{x})' = \cos{x}$ & 
    $\displaystyle (\arcsin{x})' = \frac{1}{\sqrt{1 - x^2}}$ & 
    $\displaystyle (\sinh{x})' = \cosh{x}$ \\
    
    $\displaystyle (x^a)' = ax^{a - 1}$ & 
    $\displaystyle (\cos{x})' = -\sin{x}$ & 
    $\displaystyle (\arccos{x})' = -\frac{1}{\sqrt{1 - x^2}}$ & 
    $\displaystyle (\cosh{x})' = \sinh{x}$ \\
    
    $\displaystyle (a^x)' = a^x\ln{a}$ & 
    $\displaystyle (\tan{x})' = \frac{1}{\cos^2{x}}$ & 
    $\displaystyle (\arctan{x})' = \frac{1}{1+x^2}$ & 
    $\displaystyle (\tanh{x})' = \frac{1}{\cosh^2{x}}$ \\
    
    $\displaystyle (log_ax)' = \frac{1}{xln(a)}$ & 
    $\displaystyle (\cot{x})' = -\frac{1}{\sin^2{x}}$ & 
    $\displaystyle (arctg(x))' = -\frac{1}{1+x^2}$ & 
    $\displaystyle (\coth{x})' = -\frac{1}{\sinh^2{x}}$ \\
    \hline
\end{tabular}