Question

Let f:R→R be defined as f(x) = |x² – 1| + |x| + |x³ – 1| Then find the total number of points at which f attains either a local maximum or local minimum.

Answer 1

We have f(x) = |x² – 1| + |x| + |x³ – 1|

Thus, the number of points of extremum is 3