\[ f'(u) = 5u^4 - 9u^2 + 2 \]

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• \( f(1) = a(1) + b = a + b \)
• \[ f(1) = 1^5 - 3(1)^3 + 2(1) + 8 = 1 - 3 + 2 + 8 = 8 \]
• \[ a + b = 8 \quad ext{(1)} \]
• \[ f'(1) = 5(1)^4 - 9(1)^2 + 2 = 5 - 9 + 2 = -2 \]
• \[ a = -2 \]
• \[ u\sqrt{u} - 5u + 6\sqrt{u} - 4 = 0 \]

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