Which of the following function can satisfy Rolle's theorem ?
Which of the following function can satisfy Rolle's theorem ?
- A
$f\left( x \right) = \left| {\operatorname{sgn} \left( x \right)} \right|in\left[ { - 1,1} \right]$
- B
$f\left( x \right) = 3{x^2} - 2\,in\left[ {2,3} \right]$
- C
$f\left( x \right) = \left| {x - 1} \right|\,in\left[ {0,2} \right]$
- D
$f\left( x \right) = \left( {x + \frac{1}{x}} \right)\,in\left[ {\frac{1}{3},3} \right]$
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