Example 1. (b) Find the Maclaurin polynomial of degree n = 8.

Use the information in part (a) and find the derivatives from n = 6 up to n = 8.

First, find the derivatives of f(x).

Second, evaluate the derivatives of f(x) at x = 0, and obtain a sequence of constants .

Third, substitute the constants in Maclaurin's formula.

Want to see a higher degree Maclaurin polynomial ?

(c) John H. Mathews, 1998