Finding the value of N for Simpson's Rule

Find a value of N such that Simpson's Rule approximates

5

∫x^-1/4 dx

2

with an error of at most 10^-2 (but don't calculate Simpson's Rule).

The answer sheet says the answer is 4, but I cant get that answer. So far all I found was the fourth derivative.

fourth derivative = 585/256 x^(-17/4)

In class, we took a similar problem and graphed the fourth derivative to see where it was even to and plugged the value in for the derivative to find the k4, but I tried to do this, and I got a huge number not even close to 4.

Can anyone help me out, please?