# If f(x) = sin(x^3) find f^(15)(0)

Short and sweet, If f(x) = sin(x^3) find f^(15)(0) by which I mean find the 15th derivative of f. Do I have to write out all the derivatives and look for a pattern somewhere or is there an easier way?

$$f(x) = \sum_{n=0}^\infty\frac{x^n}{n!}f^{(n)}(0).$$