Skip to main content
Contents Index
Dark Mode Prev Up Next
\(\usepackage{siunitx}
\newcommand{\lrp}[1]{\left(#1\right)}
\newcommand{\lrb}[1]{\left[#1\right]}
\newcommand{\lrbrace}[1]{\left\lbrace#1\right\rbrace}
\newcommand{\abs}[1]{\left|#1\right|}
\newcommand{\dint}{\displaystyle\int}
\newcommand{\defint}[2]{\dint^{#2}_{#1}}
\newcommand{\dlim}[2]{\displaystyle\lim_{#1\rightarrow #2}\,}
\newcommand{\dydx}{\dfrac{dy}{dx}}
\newcommand{\ddx}{\tfrac{d}{dx}}
\newcommand{\dddx}{\dfrac{d}{dx}}
\newcommand{\ifsol}[1]{\ifprintanswers{#1}\fi}
\newcommand{\Nat}{\mathbb{N}}
\newcommand{\Whole}{\mathbb{W}}
\newcommand{\Int}{\mathbb{Z}}
\newcommand{\Rat}{\mathbb{Q}}
\newcommand{\Real}{\mathbb{R}}
\newcommand{\Complex}{\mathbb{C}}
\DeclareMathOperator\arcsinh{arcsinh}
\DeclareMathOperator\arccosh{arccosh}
\DeclareMathOperator\arctanh{arctanh}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\newcommand{\sfrac}[2]{{#1}/{#2}}
\)
Section 6.5 Exponential and Logarithmic Functions
Another common command that we will frequently use is
exp(). This is meant to be used as the natural exponential function. Unfortunately, simply typing in
\({ e}^x\) using the ‘e’ key on the keyboard will not perform the correct operation. Instead, Maple treats ‘e’ as it does any other letter, such as ‘x’ or ‘y’.
Aside The
exp() command can also be found in the Expression palette by clicking the
\({ e}^a\) button. Similarly, you can get the numerical value
\({ e}\) by clicking on its button in the Common Symbols palette.
\begin{equation*}
\displaystyle {{ e}^{a}}
\end{equation*}
We will mostly be using the natural logarithm in calculus, but Maple provides commands for logarithms with different bases:
\begin{equation*}
\displaystyle {\ln(a)}
\end{equation*}
\begin{equation*}
\displaystyle {3}
\end{equation*}