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Questions: Algebra BusinessCalculus
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Find the anti-derivatie of \(\displaystyle f(x) = x^{2}\).
Using the power rule gives \(\displaystyle F(x) = \frac{x^{3}}{3} + C\)
\begin{question}Find the anti-derivatie of $f(x) = x^{2}$. \soln{4cm}{Using the power rule gives $F(x) = \frac{x^{3}}{3} + C$} \end{question}
\documentclass{article} \usepackage{tikz} \usepackage{amsmath} \usepackage[margin=2cm]{geometry} \usepackage{tcolorbox} \newcounter{ExamNumber} \newcounter{questioncount} \stepcounter{questioncount} \newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}} \renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}} \newif\ifShowSolution \newcommand{\soln}[2]{% \ifShowSolution% \noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else% \vspace{#1}% \fi% }% \newcommand{\hideifShowSolution}[1]{% \ifShowSolution% % \else% #1% \fi% }% \everymath{\displaystyle} \ShowSolutiontrue \begin{document}\begin{question}(10pts) The question goes here! \soln{9cm}{The solution goes here.} \end{question}\end{document}
<p> <p>Find the anti-derivatie of <img class="equation_image" title=" \displaystyle f(x) = x^{2} " src="/equation_images/%20%5Cdisplaystyle%20f%28x%29%20%3D%20x%5E%7B2%7D%20" alt="LaTeX: \displaystyle f(x) = x^{2} " data-equation-content=" \displaystyle f(x) = x^{2} " /> . </p> </p>
<p> <p>Using the power rule gives <img class="equation_image" title=" \displaystyle F(x) = \frac{x^{3}}{3} + C " src="/equation_images/%20%5Cdisplaystyle%20F%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B3%7D%7D%7B3%7D%20%2B%20C%20" alt="LaTeX: \displaystyle F(x) = \frac{x^{3}}{3} + C " data-equation-content=" \displaystyle F(x) = \frac{x^{3}}{3} + C " /> </p> </p>