# How do you compute the 9th derivative of: #arctan((x^3)/2)# at x=0 using a maclaurin series?

##### 1 Answer

Nov 4, 2016

It should be

#### Explanation:

The Mac Laurin series of

If we replace the variable

it becomes

that rewritten assumes the form

By recalling that in the Maclaurin series the coefficient of the each term of n degree is just the n-th derivative of

Enjoy