Derivative Flashcards
作者:
Caleb McWhorter
最近上传:
5 年前
许可:
Creative Commons CC BY 4.0
摘要:
A template to create flashcards to review elementary derivatives.
\begin
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\documentclass[avery5371,grid]{flashcards}
% See Flashcard documentation: https://ctan.org/pkg/flashcards?lang=en
% -------------------
% Packages
% -------------------
\usepackage{amsmath,geometry}
\geometry{bindingoffset=0.0cm,hratio=1:1}
\usepackage[bitstream-charter]{mathdesign}
\usepackage[T1]{fontenc}
% -------------------
% Card Options
% -------------------
\cardfrontstyle{empty}
\cardbackstyle{empty}
% -------------------
% Content
% -------------------
\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}