# 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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