The function which is continuous for all real values of x and dif… - Vidyadip

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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