Advanced Search

Question: what is the pattern

Question:what is the pattern

Lonely 400 Maple
derivative
March 10 2009
0

 

please help me here:

we have a function:

f(x):=arctan(tan(x)*tan(x))

now let us look at the even derivative of this function at x = Pi/2. that is:

f^2(Pi/2) = -2

f^4(Pi/2) = -16

f^16(Pi/2) = -32

f^8(Pi/2) = 18944

f^10(Pi/2)= 1904128

is there a pattern in these numbers?

thanks

 
Please Wait...