# A calculus problem by Akshat Sharda

Calculus Level 4

$f(x)=\left \lfloor x-\dfrac{1}{4} \right \rfloor + x \lfloor x \rfloor + | x(x-4) \sin x |+(2x-1)^{\frac{1}{3}}$

Find the number of points for $$x\in [0,2\pi)$$ at which $$f(x)$$ is non-differentiable.

Notations:

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