MCQ
The function which is continuous for all real values of $x$ and differentiable at $x = 0$ is
  • A
    $|x|$
  • B
    $\log x$
  • $sin\ x$
  • D
    ${x^{\frac{1}{2}}}$

Answer

Correct option: C.
$sin\ x$
c
(c) Since $\frac{{dy}}{{dx}} = \cos x$ which is defined at $x = 0$ and no other differential coefficient is defined at $x = 0$

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