0580/23 May/Jun 2021, Question 25: Stationary Points and Turning Points
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks
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The question, in short
Find the x-coordinates of points on y = x⁵ − 5x⁴ where the gradient equals 0.
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Solution · 4 marks
- 1dy/dx = 5x⁴ − 20x³
- 25x⁴ − 20x³ = 0
- 35x³(x − 4) = 0
- 4x = 0 or x = 4
Answer0 and 4
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