0606/23 May/Jun 2025, Question 2: Derivatives of Powers, eˣ, ln x and Trig
Cambridge IGCSE Additional Mathematics 0606 · Paper 23 (Calculator) · Calculator · 3 marks
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The question, in short
Differentiate y = (4x³ − 5)/x² and show the result rearranges to 2(2x³ + 5)/x³.
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Solution · 3 marks
- 1y = 4x − 5x⁻²
- 2dy/dx = 4 + 10x⁻³
- 3dy/dx = (4x³ + 10)/x³
- 4dy/dx = 2(2x³ + 5)/x³
Answerdy/dx = 2(2x³ + 5)/x³ shown
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