If f(x) = l ;x + 1, ; when , , ,x < 2 2x - 1, when , , x 2 ., the… - Vidyadip

MCQ

If $f(x) = \left\{ \begin{array}{l}\;x + 1,\;{\rm{when\,\,}}\,x < 2\\2x - 1,{\rm{when\,\,}}x \ge {\rm{2}}\end{array} \right.$, then $f'(2)$ equals

A
$0$
B
$1$
C
$2$
✓
Does not exist

✓

Answer

Correct option: D.

Does not exist

d
(d) As $Lf'\,(2) \ne Rf'\,(2)$.

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