This is how the single quotes are escaped in the js-jsx-mode documentation
in emacs master:
http://git.savannah.gnu.org/cgit/emacs.git/tree/lisp/progmodes/js.el?id=a7e302dc1dc18770aaf9eeedfd638f73b574bc19#n3787

(define-derived-mode js-jsx-mode js-mode "JSX"
  "Major mode for editing JSX.

To customize the indentation for this mode, set the SGML offset
variables (`sgml-basic-offset', `sgml-attribute-offset' et al.)
locally, like so:

  (defun set-jsx-indentation ()
    (setq-local sgml-basic-offset js-indent-level))
  (add-hook \\='js-jsx-mode-hook #\\='set-jsx-indentation)"


The js2-jsx-mode docstring (
https://github.com/mooz/js2-mode/blob/49f9761af75f8df2f73bef61a7742acd8c50d7fb/js2-mode.el#L11615-11623
)
is missing those escapes. You need to open an issue on that package's
github/send PR to fix it.

(define-derived-mode js2-jsx-mode js2-mode "JSX-IDE"
  "Major mode for editing JSX code.

To customize the indentation for this mode, set the SGML offset
variables (`sgml-basic-offset' et al) locally, like so:

  (defun set-jsx-indentation ()
    (setq-local sgml-basic-offset js2-basic-offset))
  (add-hook 'js2-jsx-mode-hook #'set-jsx-indentation)"             ;
Missing escapes for single quotes on this line

PS: I was against the curly quotes too. But now I like them :)

On Thu, Jul 7, 2016 at 9:46 AM Kaushal Modi <kaushal.modi@gmail.com> wrote:

> What is jsx-ide mode? Is it part of emacs? If not, the package author
> needs to fix the documentation.
>
> The closest thing in emacs I could find was js-jsx-mode and the quotes
> show up correctly for that: http://i.imgur.com/NCPpuzv.png
>
> On Thu, Jul 7, 2016 at 8:54 AM Marcin Borkowski <mbork@mbork.pl> wrote:
>
>> Hi all,
>>
>> Here's a snippet from a *Help* buffer for JSX-IDE mode:
>>
>> --8<---------------cut here---------------start------------->8---
>> JSX-IDE mode defined in ‘js2-mode.el’:
>> Major mode for editing JSX code.
>>
>> To customize the indentation for this mode, set the SGML offset
>> variables (‘sgml-basic-offset’ et al) locally, like so:
>>
>>   (defun set-jsx-indentation ()
>>     (setq-local sgml-basic-offset js2-basic-offset))
>>   (add-hook ’js2-jsx-mode-hook #’set-jsx-indentation)
>> --8<---------------cut here---------------end--------------->8---
>>
>> While I do understand that I could toggle some switch to turn off these
>> retarded curly quotes, but a CODE SNIPPET in a HELP BUFFER should be
>> COPY-PASTEABLE BY DEFAULT.  (I'm sorry for my angry tone, but this is
>> yet another case of curly quotes causing problems, and giving NOTHING in
>> return.  And so many people warned about this - and yet this buggy
>> behavior was made the default...)
>>
>> I'm on GNU Emacs 25.1.50.3 (commit debd49b).
>>
>> Best,
>>
>> --
>> Marcin Borkowski
>> http://octd.wmi.amu.edu.pl/en/Marcin_Borkowski
>> Faculty of Mathematics and Computer Science
>> Adam Mickiewicz University
>>
>> --
>
> --
> Kaushal Modi
>
-- 

-- 
Kaushal Modi