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Number if points of non-differentiability of the function g(x)=x2cos2⁡4x+x2cos2⁡4x+x2sin2⁡4x+x2cos2⁡4x+x2cos2⁡4x in (−50,50) where [x] and {x} denotes the g.I.F and fractional point function of x respectively is equal to

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Detailed Solution

x2+x2cos24x+cos24x+x2sin24x=x2cos2⁡4x+x2sin2⁡4x=x2 Clearly g(x) is continuous and differentiable ∀x∈RNumber of points of non-differentiability in ‘0’

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