Question

How can I calculate n-th derivative of f(x) = x*exp(x)^3)/(1 - x^2)

Answer 1

in point x = 0

Answer 2

and n = 100

Answer 3

Calculate the first few derivatives. You'll probably see a pattern emerge with the powers of x and coefficients and such. Then try to write an expression (using x and n) that describes the nth derivative. Then use your formula to predict the next derivative. Then actually calculate the next derivative and see if you were right. Then plug in x=0. If you run in to any problems, ask.