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OpenStudy (anonymous):
Find the critical numbers of the function f(x) = x^6(x − 3)^5.
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OpenStudy (anonymous):
\[\begin{align*}f'(x)&=6x^5(x-3)^5+5x^6(x-3)^2\\ 0&=x^5(x-3)^4\left(6(x-3)+5x\right) \end{align*}\] Solve for \(x\).
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