Which of the following function can satisfy Rolle's theorem ? - Vidyadip

MCQ

Which of the following function can satisfy Rolle's theorem ?

A
$f(x) = |\ sgn\ (x)|$ in $[-1, 1]$ (where $sgn\ (x)$ represents signum function)
B
$f(x) = 3x^2 - 2$ in $[2, 3]$
C
$f(x) = |x - 1|$ in $[0, 2]$
✓
$f(x) = (x + \frac{1}{x})$ in $[\frac{1}{3} , 3]$

✓

Answer

Correct option: D.

$f(x) = (x + \frac{1}{x})$ in $[\frac{1}{3} , 3]$

d

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