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Diffstat (limited to 'macros/latex/contrib/studenthandouts/samplecode/worksheets/handout-2-2.tex')
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diff --git a/macros/latex/contrib/studenthandouts/samplecode/worksheets/handout-2-2.tex b/macros/latex/contrib/studenthandouts/samplecode/worksheets/handout-2-2.tex new file mode 100644 index 0000000000..4e93aa48fe --- /dev/null +++ b/macros/latex/contrib/studenthandouts/samplecode/worksheets/handout-2-2.tex @@ -0,0 +1,26 @@ +\sethandouttitle{Trignometric Functions} + +\begin{enumerate} + + \item Differentiate the function. + \begin{enumerate} + \item $f(x) = \sin(\ln x)$. + \item $f(x) = \sin(x) \ln(5x)$. + \item $g(x) = \ln\left( \frac{ (2y+1)^5 }{ \sqrt{ y^2+1} } \right)$. + \item $y = \frac{x}{e^x}$. + \item $F(t) = e^{t \sin(2t) }$. + \end{enumerate} + + \item Without simplfiying, find the derivative of $f(x) = \ln( e^{3x} )$. + Then simply $f(x)$ and differentiate. Do your answers agree? + + \item Use logarithmic differentiation to differentiate the function. + \begin{enumerate} + \item $f(x) = (x^2+2)^2(x^4+4)^4$. + \item $f(x) = x^x$. + \end{enumerate} + + +\end{enumerate} + + |