If \( f(x) \) is twice differentiable function such that \( f(a)=0 ...

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If \( f(x) \) is twice differentiable function such that \( f(a)=0 \), \( f(b)=2, f(c)=-1 f(d)=2, f(e)=0 \), where \( abcde \),
P then the minimum number of zeroes of

W) \( g(x)=\left\{f^{\prime}(x)\right\}^{2}+f^{\prime \prime}(x) \cdot f(x) \) in the interval \( [a, e] \) is
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