Thread: Find nth derivative by using series.

1. Find nth derivative by using series.

Hi,
I got this problem from my Calculus class 's homeworks, I dont know how to solve . Please help me, any help will be great appreciated.

1. use series to find f^6 (0) , for f(x) = sin(3x^2)

2. Originally Posted by kientri123
Hi,
I got this problem from my Calculus class 's homeworks, I dont know how to solve . Please help me, any help will be great appreciated.

1. use series to find f^6 (0) , for f(x) = sin(3x^2)
$\sin{u} = u - \frac{u^3}{3!} + \frac{u^5}{5!} - \frac{u^7}{7!} + ...
$

3. Originally Posted by skeeter
$\sin{u} = u - \frac{u^3}{3!} + \frac{u^5}{5!} - \frac{u^7}{7!} + ...
$
Oh, I got it. It's easier than I thought. Thanks you for your help