CBSE Class 12 Mathematics 2026 Main Paper 65/5/2 · Q232 Marksmonotonicity
CBSE Class 12 Mathematics 2026 Main Paper 65/5/2 · Question 23 (Applications Of Derivatives)
Where is 5x^(3/2)−3x^(5/2) increasing for x>0?
✅ Step-by-Step Solution
Final Answer: (0,1], with positive derivative on (0,1).
- Differentiate to obtain (15/2)√x(1−x).
- This is positive below 1 and negative above 1.
- The increasing interval extends up to the turning point at x=1.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Differentiate to obtain (15/2)√x(1−x).
- [1 mark] This is positive below 1 and negative above 1.
- [0.5 marks] The increasing interval extends up to the turning point at x=1.
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