Processing Math: Done

Aus Online Mathematik Brückenkurs 2

With the help of the square rule, we can expand the quadratic as

fx=x2−12=x22−2x21+12=x4−2x2+1 

When the function is written in this form, it is easy to differentiate term by term:

fx=ddxx4−2x2+1=ddxx4−2ddxx2+ddx1=4x−1−22x−1+0=4x3−4x=4xx2−1