# Storming Polynomial!

Calculus Level 4

If $$f(x)$$ is a polynomial of degree 6 with leading coefficient $$2009$$. And that $$f(1)=1$$, $$f(2)=3$$, $$f(3)=5$$, $$f(4) =7$$, $$f(5)=9$$ and $$f'(2)=2$$. Find the sum of all the digits of $$f(6)$$.

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