Number of points of non-differentiabilit...

Number of points of non-differentiability of the function `g(x) = [x^2]{cos^2 4x} + {x^2}[cos^2 4x] +x^2 sin^2 4x + [x^2][cos^2 4x] + {x^2}{cos^2 4x}` in `(-50, 50)` where `[x] and {x}` denotes the greatest integer function and fractional part function of x respectively, is equal to :

100

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