Q25 of 64 Page 10

Choose the correct answer.

The set of points where the function f(x) given by f(x) = |x – 3| cos x is differential then,


Given that the function f(x) given by f(x) = |x – 3| cos x is differential then


LHD at x =3,




RHD at x =3,




∵ LHD ≠ RHD


∴ f(x) is not differentiable at x = 3 but since it is a product of modular and cosine function, it is differentiable at all other points.


Hence, option B is correct.

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