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STD 12 - 5. continuity and differentiation — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 5. continuity and differentiation1 Mark
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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