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Question

Question: Number of critical points of f (x) = \(\frac{|x^{2} - 1|}{x^{2}}\) is...

Number of critical points of f (x) = x21x2\frac{|x^{2} - 1|}{x^{2}} 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