# Victor's complicated yet simple problem

Level pending

Let $$f(x)=(x^{2}+x+1)(x^{3}−x^{2}+1)$$. What is the sum of the digits of the closest integer to $$f'(3.14)$$?

Details and Assumptions

For example, if $$f(x)=x^{2}, f'(x)=2x, f'(1)=2(1)=2$$.

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