Functions Question 502

Question: The function which is continuous for all real values of x and differentiable at $ x=0 $ is

[MP PET 1996]

Options:

A) $ |x| $

B) $ \log x $

C) sin x

D) $ {x^{\frac{1}{2}}} $

Show Answer

Answer:

Correct Answer: C

Solution:

Since $ \frac{dy}{dx}=\cos x $ which is defined at $ x=0 $ and no other differential coefficient is defined at $ x=0 $