Let f(x0 be a non-constant thrice differ...

Let `f(x0` be a non-constant thrice differentiable function defined on `(-oo,oo)` such that `f(x)=f(6-x)a n df^(prime)(0)=0=f^(prime)(x)^2=f(5)dot` If `n` is the minimum number of roots of `(f^(prime)(x)^2+f^(prime)(x)f^(x)=0` in the interval [0,6], then the value of `n/2` is___

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