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If f(x) is a twice differentiable functi...

If f(x) is a twice differentiable function such that f(a)=0, f(b)=2, f(c)=-1,f(d)=2, f(e)=0 where a < b < c < de, then the minimum number of zeroes of `g(x) = f'(x)^2+f''(x)f(x)` in the interval [a, e] is

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