Let f(x) be a non-constant thrice differ...

Let f(x) be a non-constant thrice differential function defined on `(-oo, oo)` such that `f((x+13)/2) = f((3-x)/2)` and `f'(0) = f'(1/2) = f'(3) = f'(9/2) =0` then the minimum number of zeros of `h(x) =(f''(x))^2 + f'(x) f''(x)` in the interval `[0,9] is 2k then k is equal to

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Let f(x) be a non-constant thrice differential function defined on `(-oo, oo)` such that `f((x+13)/2) = f((3-x)/2)` and `f'(0) = f'(1/2) = f'(3) = f'(9/2) =0` then the minimum number of zeros of `h(x) =(f''(x))^2 + f'(x) f''(x)` in the interval `[0,9] is 2k then k is equal to

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