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STD 12 - 5. continuity and differentiation — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 5. continuity and differentiation4 Marks
MCQ
Let $f:R \to R$ be a function defined by $f\left( x \right) = Min\left\{ {x + 1,\left| x \right| + 1} \right\}$ Then which of the following is true $?$
  • A
    $f\left( x \right) \ge 1$ for all $x \in R$
  • B
    $f(x)$ is not differentiable$x=1$ 
  • ✓
    $f\left( x \right)$ is differentiable everywhere
  • D
    $f(x)$ is not differentiable at $x=0$ 
✓

Answer

Correct option: C.
$f\left( x \right)$ is differentiable everywhere
c

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