exercise:5b87ab6e7a: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\ex}[1]{\item } \newcommand{\sx}{\item} \newcommand{\x}{\sx} \newcommand{\sxlab}[1]{} \newcommand{\xlab}{\sxlab} \newcommand{\prov}[1] {\quad #1} \newcommand{\provx}[1] {\quad \mbox{#1}} \newcommand{\intext}[1]{\quad \mbox{#1} \quad} \newcommand{\R}{\mathrm{\bf R}} \newcommand{\Q}{\mathrm{\bf Q}} \newcommand{\Z}{\mathrm{\bf Z}} \newcommand{\C}{\mathrm{\bf C}} \newcommand{\dt}{\textbf} \newcommand{\goesto}{\rightarrow}...") |
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<ul style{{=}}"list-style-type:lower-alpha"><li>Draw the graph of the function <math>g</math> defined by | <ul style{{=}}"list-style-type:lower-alpha"><li>Draw the graph of the function <math>g</math> defined by | ||
<math display="block"> | <math display="block"> | ||
g(x) = \ | g(x) = \begin{cases}x^2, & x \leq 1, \\ | ||
2x-1, & x > 1.\end{cases} | |||
</math></li> | </math></li> | ||
<li>Compute <math>g^\prime</math> and <math>g^{\prime\prime}</math>.</li> | <li>Compute <math>g^\prime</math> and <math>g^{\prime\prime}</math>.</li> | ||
<li>Are <math>g</math> and <math>g^\prime</math> differentiable functions?</li> | <li>Are <math>g</math> and <math>g^\prime</math> differentiable functions?</li> | ||
</ul> | </ul> | ||
Latest revision as of 00:30, 23 November 2024
[math]
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[/math]
- Draw the graph of the function [math]g[/math] defined by
[[math]] g(x) = \begin{cases}x^2, & x \leq 1, \\ 2x-1, & x \gt 1.\end{cases} [[/math]]
- Compute [math]g^\prime[/math] and [math]g^{\prime\prime}[/math].
- Are [math]g[/math] and [math]g^\prime[/math] differentiable functions?