Differentiate ##f(x)=x\cos{x}+2\tan{x}: D/dx ##\tiny{2.4.2}##

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Homework Help Overview

The discussion revolves around differentiating the function f(x) = x cos(x) + 2 tan(x) using the product rule. Participants are sharing their attempts at differentiation and discussing LaTeX formatting issues within the forum.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Some participants attempt to apply the product rule to differentiate the function, while others express concerns about LaTeX rendering and formatting issues. There are also discussions about the use of specific LaTeX commands and shortcuts.

Discussion Status

The discussion is ongoing, with participants providing feedback on LaTeX formatting and sharing tips for effective posting. There is no explicit consensus on the differentiation process, but there are multiple lines of inquiry regarding both the mathematical approach and the technical aspects of posting.

Contextual Notes

Participants mention typos and formatting issues related to LaTeX, indicating a need for clarity in how to properly render mathematical expressions in the forum. There is also a note about the absence of a "solved" option for the thread title, reflecting the forum's policy on marking discussions.

karush
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Homework Statement
s8.2.4.2
Relevant Equations
product rule
##\tiny{2.4.2}##
Differentiate ##f(x)=x\cos{x}+2\tan{x}##
Product Rule ##[-x\sin{x}+\cos{x}]+[2\sec^2]\implies \cos{x}-x\sin{x}+2\sec^2x##
mostly just seeing how posting here works

typos maybe
suggestions
what forum do I go to for tikz stuff
 
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karush said:
Homework Statement:: s8.2.4.2
Relevant Equations:: product rule

##\tiny{2.4.2}##
Differentiate ##f(x)=x\cos{x}+2\tan{x}##
Product Rule ##[-x\sin{x}+\cos{x}]+[2\sec^2]\implies \cos{x}-x\sin{x}+2\sec^2x##
mostly just seeing how posting here works

typos maybe
suggestions
what forum do I go to for tikz stuff
The typos are the same. Otherwise, use ## instead of $ for inline LaTeX and $$ for extra lines.
Here is explained how you can type formulas on PF: https://www.physicsforums.com/help/latexhelp/
 
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this did not render latex or preview
 
karush said:
this did not render latex or preview
See my previous post and the quotation where I changed the $ and the missing marks ## around \tiny.
 
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still does not preview
 
karush said:
still does not preview
Reload the page to enforce a rendering.
 
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got it mahalo
however don't see solved option is title
 
karush said:
however don't see solved option is title
We don't usually mark titles as Solved, since sometimes that status can change... :smile:
 
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##\dfrac{a}{b} \quad \frac{a}{b}##

ok I'm surprized you didn't mention \dfrac{}{} in the pdf which is the same as \displaystyle\frac{}{}
 
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karush said:
##\dfrac{a}{b} \quad \frac{a}{b}##

ok I'm surprized you didn't mention \dfrac{}{} in the pdf which is the same as \displaystyle\frac{}{}
It isn't my manual.

I use AutoHotkey and an entire file of keyboard shortcuts to save time. E.g. Alt+I produces
\begin{align*}

\end{align*}
with the cursor in the middle. Or \operatorname{} is Ctrl+o, again with the cursor at the right position. Similar for two dozen other shortcuts like Ctrl+u for \subseteq and Alt+u for \left. \dfrac{d}{d}\right|_{}

The advantage is that I can write Tex files as quickly as MathJax here.

Displaystyle is important if you want limits and sums within the text written with indexes positioned above and below instead of next to the symbol: ##\sum_{k=0}^n## versus ##\displaystyle{\sum_{k=0}^n}## and the same for ##\lim_{n \to \infty}## versus ##\displaystyle{\lim_{n \to \infty}}.## (Alt+- and Ctrl+-)

Edit: I also abuse AutoHotkey to kill that da** capslock!
 
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valuable to know that ... mahalo
 

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