Unit 5: Calculus
Topic 5.6: Differentiation Rules Questions
Practice 20 exam-style questions for IB Math AA SL Topic 5.6. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
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2026• Aimnova practice — 5.6.1
Differentiate y = (x² − 5)³.
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2026• Aimnova practice — 5.6.1
Differentiate y = (4x + 1)⁵.
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2026• Aimnova practice — 5.6.2
Differentiate y = (x + 3)(2x − 1) using the product rule.
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2026• Aimnova practice — 5.6.2
Differentiate y = x²·cos x.
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2026• Aimnova practice — 5.6.3
Find the gradient of y = (x + 2)/(x − 1) at x = 3.
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2026• Aimnova practice — 5.6.2
Differentiate y = (x + 1)·ln x.
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2026• Aimnova practice — 5.6.1
Differentiate y = e3x + cos(2x).
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2026• Aimnova practice — 5.6.1
Differentiate y = ln(5x − 2).
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2026• Aimnova practice — 5.6.2
Differentiate y = (3x − 2)(x + 5) and verify by expanding first.
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2026• Aimnova practice — 5.6.1
Differentiate y = sin(x²).
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2026• Aimnova practice — 5.6.1
Differentiate y = (2x² + 1)⁻¹.
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2026• Aimnova practice — 5.6.1
Differentiate y = 4cos(3x) and find dy/dx at x = 0.
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2026• Aimnova practice — 5.6.3
Differentiate y = (x²)/(x − 1).
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2026• Aimnova practice — 5.6.2
Differentiate y = x³(x − 2).
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2026• Aimnova practice — 5.6.2
Differentiate y = x·e3x.
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2026• Aimnova practice — 5.6.3
Differentiate y = (x − 1)/(x + 1).
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2026• Aimnova practice — 5.6.1
Differentiate y = ex² − 1.
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2026• Aimnova practice — 5.6.3
Differentiate y = x/(x² + 2).
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2026• Aimnova practice — 5.6.3
Differentiate y = (2x + 1)/(3x − 1).
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2026• Aimnova practice — 5.6.3
Differentiate y = (sin x)/x.
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