Number of points of non-differentiability of the function .g(x)= x^2 ] ^2 4 x + x^2 | ^2 4 x |+x^2 ^2 4 x+ |x^2 | ^2 4 x ]+ x^2 ^2 4 x in (-50.50) . (where [.] denotes the greatest integer function and . denotes the fractional part of funct

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Number of points of non-differentiability of the function .g(x)= x^2 ] ^2 4 x + x^2 | ^2 4 x |+x^2 ^2 4 x+ |x^2 | ^2 4 x ]+ x^2 ^2 4 x in (-50.50) . (where [.] denotes the greatest integer function and . denotes the fractional part of function), is equal to

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Correct answer: D. 0

aligned & On simplifying, [x^2 ] ^2 4 x+ x^2 ^2 4 x+x^2 4 x & =x^2 ^2 4 x+x^2 ^2 4 x & =x^2, which is always differentiable aligned

Number of points of non-differentiability of the function .g(x)= x^2 ] ^2 4 x + x^2 | ^2 4 x |+x^2 ^2 4 x+ |x^2 | ^2 4 x ]+ x^2 ^2 4 x in (-50.50) . (where [.] denotes the greatest integer function and . denotes the fractional part of function), is equal to

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