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Let f(x) be a differentiable function on...

Let `f(x)` be a differentiable function on `[0,8]` such that `f(1)=3, f(2)=1//2, f(3) =4, f(4)=-2, f(5)=6`
`f(6)=1//3, f(7)=-1//4`. Then the minimum no. points of interaction of the curve `y=f^(')(x)` and `y=f^(')(x)(f(x))^(2)` is `K` then `K-5=`

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