Limits, Continuity and Differentiability

Critical points restricted to f'(x) = 0

What goes wrong

Identifies critical points solely where the derivative vanishes, ignoring points in the domain where the derivative is undefined.

Next time

Include all domain points where $f^{'} (x)$ is undefined as critical points before evaluating extrema.

Questions that set this trap

1 published question

mathematicsThe absolute minimum value, of the function $f (x) = ∣ x^{2} - x + 1 ∣ + [x^{2} - x + 1]$ , where $[t]$ denotes the greatest integer function, in t…