Talk:Calculus/Higher Order Derivatives

2/26/06

Hi,

Just trying to reorganize this page and provide more examples. I think it would be better if we created an entire section within the applications of derivatives page for kinematics.

technochef techno_chef [att] swissinfo [dot] orgg [remove last g]

Just added a section about finding the nth derivative of x^m - font size is too small and I'm very tired. So, someone please increase the font size in that section, and check the math to make sure I didn't screw something up. -64.30.204.249 08:13, 15 March 2006 (UTC)

Is concave up really convex? Cyrus Jones (talk) 00:47, 16 May 2008 (UTC)

Is it really Newton's notation?
From the page:
 * With the Newtonian notation, the derivative of the function $$f(x)$$ is denoted by $$f^\prime(x)$$

Isn't that Lagrange's notation (apparently from "Théorie des fonctions analytiques")? (Wikipedia) --Mrwojo (talk) 02:46, 29 December 2008 (UTC)

Removed text
I removed the following text from the page:

One can derive a general expression for the nth derivative of $$x^{m}$$ where n and m are integers and $$n<m$$.

...
 * $$f (x)=x^{m} \ $$
 * $$f' (x)=(m)x^{m-1} \ $$
 * $$f'' (x)=(m)(m-1)x^{m-2} \ $$
 * $$f^{\prime\prime\prime} (x)=(m)(m-1)(m-2)x^{m-3} \ $$
 * $$f^{(n)} (x)=\frac{m!}{(m-n)!}x^{m-n}$$

Remember that $$0!=1$$, by definition.

Power, MacLaurin and Taylor series make use of this expression.

The current examples don't use this approach, so it seemed a bit out of place. Perhaps it could be expanded on or used in a later module. --Mrwojo (talk) 22:52, 12 September 2009 (UTC)