#### \(f(2) = 0\)

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• \[ f(2) = 2(2)^3 - 9(2)^2 + 12(2) - 4 \]
• \[ = 16 - 36 + 24 - 4 \]
• \[ = 0 \]
• Calculate the derivative of \(g(x) = 5x^4 - 3x^3 + 2x - 7\) and evaluate it at \(x = 1\).
• The derivative \(g'(x) = 20x^3 - 9x^2 + 2\).
• Evaluate at \(x = 1\):

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