F(x) is a function which is defined as:
F(x) = √(1 + 4x² - 4x³ - 4x⁵ + 4x⁶ + x⁸)

Determine F⁽¹⁰⁾(0), that is, the tenth derivative of F(x) with respect to x at x=0.

(In reply to not much by Ady TZIDON)

Ady

I believe that, although your p'(0)=0, some higher derivatives (2nd, 3rd, 6th 8th) are not zero when x=0, and these will still be present in the 10th derivative.

I can't  think of a neat way round this one, but if nothing comes to mind soon I'll try a 'less than neat' way that I think should work.

Posted by Harry on 2010-08-04 23:09:59