find an explicit formula for the derivative of
so, i know
i'm not sure i see the pattern..
Google the Gamme function.
Easier way to get that negative, though:
When n is -4, we have a negative coefficient. -1^(n - 1)
Edit: Whoops. Technically, this isn't nth derivative. But you don't have to change much. =p
So, first derivative, we have -1x^-2, right? Formula says, first derivative means n = 1.
And n = 2?
Seems to work
That should be good enough. But I don't know your instructor.
Show a few derivatives. Recognize patterns and relationships between numbers and the order of each derivative.
occurs @ 3rd-order derivative. So that's how you get
@ 3rd order derivative. So that's or
First order derivative has a negative coefficient, second has positive, third negative, fourth positive, etc. You know that every even gives a positive and every odd gives a negative. Hence
Edit: Another way to show the :
is the same as , right? So that's right there.