Question
Question: Number of critical points of f (x) = \(\frac{|x^{2} - 1|}{x^{2}}\) is...
Number of critical points of f (x) = x2∣x2−1∣ is
A
0
B
1
C
2
D
None of these.
Answer
2
Explanation
Solution
Clearly f (x) is not differentiable at x = 1 and x = –1
(x = 0 is not a critical point as it is not in the domain). Therefore 1 and –1 are critical points