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Home » Final answer: $ \boxed{30 - 12\sqrt6} $ - Esdistancia

Final answer: $ \boxed{30 - 12\sqrt6} $ - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 Find the derivative of the function \( f(x) = 3x^3 - 5x^2 + 2x - 7 \).

📌 Apply the power rule to each term:

📌 Derivative of \( 3x^3 \) is \( 9x^2 \).

📌 Derivative of \( -5x^2 \) is \( -10x \).

📌 Derivative of \(-7\) is \( 0 \).

📌 Combine these: \( f'(x) = 9x^2 - 10x + 2 \).

📌 Therefore, the derivative is \( 9x^2 - 10x + 2 \).

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