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Mathematics · Calculus I

Quiz — Chapter 4

7 / 10
4:32

Question 7

What is the derivative of f(x) = x³ + 2x² − 5x + 3?

Af′(x) = 3x² + 4x − 5✓
Bf′(x) = 3x² + 2x − 5
Cf′(x) = x² + 4x − 5
Df′(x) = 3x³ + 4x − 5

AI Explanation

Using the power rule: d/dx[xⁿ] = nxⁿ⁻¹. So x³ → 3x², 2x² → 4x, and −5x → −5. Constant vanishes.

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Derivatives —
Calculus I

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Chain Rule
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Mathematics · Calculus I

Quiz — Chapter 4

7 / 10

Question 7

What is the derivative of f(x) = x³ + 2x² − 5x + 3?

Af′(x) = 3x² + 4x − 5✓
Bf′(x) = 3x² + 2x − 5
Cf′(x) = x² + 4x − 5

AI Explanation

Power rule: d/dx[xⁿ] = nxⁿ⁻¹. So x³→3x², 2x²→4x, −5x→−5.

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physics
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chemistry
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history
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biology
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english
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