# How will this be done?

Calculus Level 4

A monic polynomial function $$p(x)$$ of degree 5 increases in the interval $$x<1$$ and $$x>3$$ and decreases in the interval $$1<x<3$$. Call $$f(x)$$ the polynomial obtained by differentiating $$p(x)$$ once with respect to $$x$$.

Given that $$p(0) = 4$$ and $$f(2) = 0$$. Calculate the value of $$f(4)$$.

If you think that the data is insufficient, then submit 1 as your answer.

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