3,033

edits
# Changes

→Higher derivative at zero

This gives an explicit expression for the even order derivatives. The odd order derivatives (first derivative, third derivative, etc.) are zero because the function is an even function.

The first few ~~derivatives ~~derivative values at zero (starting from the zeroth) are:

{| class="sortable" border="1"! <math>n</math> !! 0 !! 1 !! 2 !! 3 !! 4 !! 5 !! 6 !! 7 !! 8 !! 9|-| <math>\operatorname{sinc}^{(n)}(0)</math> || 1~~, ~~|| 0~~, ~~|| -1/3~~, ~~|| 0~~, ~~|| 1/5~~, ~~|| 0~~, ~~|| -1/7~~, ~~|| 0~~, ~~|| 1/9~~, \dots</math>~~|}

==Integration==