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The number of critical points of f(x)...

The number of critical points of
`f(x)=|x|(x-1)(x-2)(x-3)` is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Given,
`f(x)=|x|(x-1)(x-2)(x-3)`
`=x(x-1)(x-2)(x-3),x ge0`
`-x(x-1)(x-2)(x-3),xlt0`

It is clear from the figure that, there are four critical points ie, `0, alpha, beta, lambda`.
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