Take the function defined by the series
f(t) = \sum_{n=1}^\infty \frac{3}{n^5} \sin( n \pi t) .

Find the series of the derivativef'(t) = \frac{a_0}{2} + \sum_{n=1}^\infty a_n \cos( n \pi t) + b_n \sin( n \pi t) .

a_0 = {}

a_n = {}

b_n = {}

help (formulas)

Find the series of the derivative

help (formulas)

You can earn partial credit on this problem.