CBSE Class 12 Mathematics 2026 Main Paper 65/5/1 · Q232 Marksmonotonicity
CBSE Class 12 Mathematics 2026 Main Paper 65/5/1 · Question 23 (Applications Of Derivatives)
Find where f(x)=(x−3)/(x+1) increases, for x≠−1.
✅ Step-by-Step Solution
Final Answer: Increasing separately on (−∞,−1) and (−1,∞).
- Differentiate with the quotient rule.
- The derivative is 4/(x+1)²>0 wherever defined.
- Each connected interval is increasing. The intervals are separated by an asymptote.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Differentiate with the quotient rule.
- [1 mark] The derivative is 4/(x+1)²>0 wherever defined.
- [0.5 marks] Each connected interval is increasing. The intervals are separated by an asymptote.
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