calculate the 35 derivative of x sin(pi*X) by calculating the first few derivatives and observing the pattern that occurs. I have tried this question and was hoping someone could confirm my results separately as I am not 100 % sure. I shall post my results below.

Question

anonymous · Answer

first derivative is sin(pi*x) + pi*x*cos(pi*x)
second derivative is 2*pi*cos(pi*x)-pi^2*x*sin(pi*x)
third derivative is -3*pi^2*sin(pi*x)-pi^3*x*cos(pi*x)
fourth derivative is -4*pi^3*cos(pi*x) + pi^4*x*sin(pi*x)
the 35th derivative is -35*pi^34*sin(pi*x)-pi^35*x*cos(pi*x)

anonymous · Answer

http://www.wolframalpha.com/input/?i=35th+derivative+of+x+sin%28pi*x%29+

anonymous · Answer

Thanks dude I tried wolfram alpha but I just could not figure out for the life of me how to enter the 35th derivative

anonymous · Answer

Which is weird cause I thought I entered that and it said zero . . . must have overlooked something