Talk:Differentiation rules

message: I merged List of List of differentiation identities here except for this:
For higher derivatives the chain rule is given by Faà di Bruno's formula (below is the combinatoric form):
:{d^n \over dx^n} f(g(x))=\sum_{\pi\in\Pi} f^{(\left|\pi\right|)}(g(x))\cdot\prod_{B\in\pi}g^{(\left|B\right|)}(x)
This belongs in the Nth derivatives section, but someone who knows more about math needs to do this. D O N D E groovily Talk to me 17:39, 6 February 2011 (UTC)
thread_title:  completed merge, some assistance required 

message: shouldn't the n'th derivative of the power x^N be proportional to x^(N-n) instead of the product index r ?  —Preceding unsigned comment added by 132.187.40.95 (talk) 11:20, 11 April 2011 (UTC)
thread_title:  Possible error ?

message: Right now this section states:
"If f(x) = x^n, for some natural number n (including zero) then 
:f'(x) = nx^{n-1}.\,"
But this isn't only true for n \in \mathbb{N}; it's true for any n \in \mathbb{C} (and of course \mathbb{R}, \mathbb{N}, \mathbb{Q}, \mathbb{Z} etc.).  — Preceding unsigned comment added by Philmac88 (talk • contribs) 20:54, 16 August 2011 (UTC)
thread_title:  The polynomial or elementary power rule 

message: There has been a proposal to restore this section, it may as well be launched back into the article. Any article benefits from relavant sources/refs. Also I added a few relevant extra articles under the See also section, not already linked into the context of the article.--Maschen (talk) 09:58, 3 December 2011 (UTC)
thread_title: Sources and further reading...

message: Why doesn't the article mention that trig functions must be in radians not degrees for this to work!
Hardly a minor point!
Rosa Lichtenstein (talk) 00:14, 16 February 2012 (UTC)
thread_title:  Radians and degrees 

message: Derivatives of exponential and logarithmic functions,
(ln x)´ = 1/x , x =/= 0.
I suppose it's defined for x < 0 for complex numbers? Since there's no notation of x < 0 not allowed in R.
The second one, only denoted as
(ln |x|)´ = 1/x
but no notion of x =/= 0 is given  — Preceding unsigned comment added by 83.250.91.84 (talk) 18:49, 28 May 2012 (UTC)
thread_title:  error in 'Derivatives of exponential and logarithmic functions'? 

message: I believe that there's another error in the derivative of ln |x|.  The current version of this page says:
:\frac {d}{dx}\left( \ln |x| \right) = \frac {|x|} {x^2}
However, I believe that the correct answer should be:
:\frac {d}{dx}\left( \ln |x| \right) =  \frac {x}{|x|^2}
However, I'm not an expert in maths so was wondering if someone could verify this:
According to this page:
:\frac {d}{dx}\left( |x| \right) = \frac {x}{|x|}
|x|´ = x / |x| for x != 0
Meanwhile, according to This page:
:\frac {d}{dx}\left( \ln u \right) = \frac{1}{u} \frac {du}{dx}
Putting these two together, we set u to be |x|, then:
:\begin{align}
\frac {d}{dx} \left( \ln |x| \right) \\
=\frac {d}{dx} \left( \ln u \right) \\
=\frac {1}{u} \frac {du}{dx} \\
=\frac {1}{|x|} \frac {d}{dx} \left(|x| \right) \\
=\frac {1}{|x|} \frac {x}{|x|} \\
=\frac {x}{{|x|}^2}
\end{align} 
--Liron (talk) 00:43, 19 October 2013 (UTC)
thread_title:  Antoher Error in 'Derivatives of exponential and logarithmic functions'? 

message: isn't sinh(x) = (e^x - e^-x)/2, and if so, then the derivative of cosh(x) should equal positive sinh(x) not the negative. 129.138.32.84 (talk) 13:52, 30 September 2015 (UTC)
thread_title:  possible error in hyperbolic functions 

message: The languages menu for the differentiation is really messed up because in
some languages it's called derivate 
Please take a close look at the language menu of these pages
https://es.wikipedia.org/wiki/Anexo:Derivadas
https://ro.wikipedia.org/wiki/Tabel_de_derivate
https://en.wikipedia.org/wiki/Differentiation_rules
https://fr.wikipedia.org/wiki/D%C3%A9riv%C3%A9es_usuelles
Some pages link to almost no other languages at all and the content even if should be the same is totally different
most likely cause some authors can't observe the article in other languages in order to inspire from
much better written articles.  — Preceding unsigned comment added by 188.25.181.147 (talk) 22:30, 22 November 2015 (UTC)
thread_title:  Languages 

message: Why there is no inverse rules main important rules are onlt they Bapi paul07 (talk) 17:57, 9 February 2018 (UTC)
replies: text: Do you mean this inverse rule: Differentiation rules#The inverse function rule?  –Deacon Vorbis (carbon • videos) 18:08, 9 February 2018 (UTC)
thread_title:  About the inverse  

message: — Assignment last updated by Not Fidel (talk) 17:57, 22 April 2024 (UTC)
thread_title: Wiki Education assignment: 4A Wikipedia Assignment