Question:medium

If \( f(x) = x^5 - 5x^3 + 5x^2 - 1 \), then the number of critical points of \( f(x) \) is:

Show Hint

To find critical points of a polynomial:
1. Calculate the first derivative.
2. Factor the derivative completely.
3. Identify all distinct real roots. Each distinct real root corresponds to a critical point. Don't count repeated roots multiple times as distinct critical points.
Updated On: May 15, 2026
  • 1
  • 2
  • 3
  • 4
Show Solution

The Correct Option is C

Solution and Explanation

Was this answer helpful?
0

Questions Asked in CUET (UG) exam