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Let f(x)= [x- 1 4 ]+x[x]+|x(x-4) x|+(2 x-1)^ 1 / 3 . Find the number of points in [0,2 ] where f(x) is non-derivable. [Note: [ ] denotes the greatest integer function.]

Correct answer

15

Step-by-step solution

x=I+ 1 4 1 4 , 5 4 , 9 4 , 13 4 , 17 4 , 21 4 , 25 4 aligned & [x] 1,2,3,4,5,6 & (2 x-1)^ 1 / 3 1 2 & x & Total 15 points aligned

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