\documentclass[avery5371,grid]{flashcards}
% See Flashcard documentation: https://ctan.org/pkg/flashcards?lang=en
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% Packages
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\usepackage{amsmath,geometry}
\geometry{bindingoffset=0.0cm,hratio=1:1}
\usepackage[bitstream-charter]{mathdesign}
\usepackage[T1]{fontenc}
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% Card Options
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\cardfrontstyle{empty}
\cardbackstyle{empty}
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% Content
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\begin{document}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \text{ \normalfont constant}  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ 0   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; x^n  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ nx^{n-1}   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \sin x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ \cos x   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \cos x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ -\sin x   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \tan x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ \sec^2 x   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \csc x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ -\csc x \cot x   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \sec x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ \sec x \tan x  \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \cot x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ -\csc^2 x   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; a^x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ a^x \, \ln a   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\;  e^x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ e^x   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \log_b x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ \dfrac{1}{x \ln b}  \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \ln x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ \dfrac{1}{x}   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \sin^{-1} x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ \dfrac{1}{\sqrt{1-x^2}}   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \cos^{-1} x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ \dfrac{-1}{\sqrt{1-x^2}}   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \tan^{-1} x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[  \dfrac{1}{1+x^2}   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \csc^{-1} x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ \dfrac{-1}{|x| \sqrt{x^2-1}}   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \sec^{-1} x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ \dfrac{1}{|x| \sqrt{x^2-1}}   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \cot^{-1} x  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ \dfrac{-1}{1+x^2}   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \big( fg \big) \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ fg'+f'g   \] \vspace*{\fill}   }\end{flashcard}
\begin{flashcard}{\large \vspace*{\fill} \[ \dfrac{d}{dx}\; \left( \dfrac{f}{g} \right)  \] \vspace*{\fill}   }{\large \vspace*{\fill} \[ \dfrac{gf' - g' f}{g^2}   \] \vspace*{\fill}   }\end{flashcard}
\end{document}