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/ Evaluate $f(x)$:
Evaluate $f(x)$:
February 22, 2026
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Find critical points: $f'(x) = 18x^2 - 72x + 54$.
Set to zero: $18x^2 - 72x + 54 = 0 \Rightarrow x^2 - 4x + 3 = 0 \Rightarrow (x - 1)(x - 3) = 0$.
So $x = 1$ and $x = 3$.
$f(0) = 0$
$f(1) = 6 - 36 + 54 = 24$
$f(3) = 6(27) - 36(9) + 54(3) = 162 - 324 + 162 = 0$
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