Functions are crazy

Calculus Level 3

Let \(f\) be a continuous and twice differential function on R satisfying \(f(-x) = f(x)\) ,\(f(2-x) = f(2+x)\) for all \( x \in \mathbb R\) and \(f'(1)=5\) .Find the minimum number of roots of equation \(f''(x)=0\) in \((-10,10)\).

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