CBSE Class 12 Mathematics 2026 Main Paper 65/3/1 · Q212 Marksparametric_derivatives
CBSE Class 12 Mathematics 2026 Main Paper 65/3/1 · Question 21 (Continuity And Differentiability)
For x=t+1/t and y=t−1/t, find dy/dx at t=2.
✅ Step-by-Step Solution
Final Answer: 5/3.
- Differentiate to get dx/dt=1−1/t² and dy/dt=1+1/t².
- Divide to obtain (t²+1)/(t²−1) where dx/dt≠0.
- At t=2 the value is 5/3.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Differentiate to get dx/dt=1−1/t² and dy/dt=1+1/t².
- [1 mark] Divide to obtain (t²+1)/(t²−1) where dx/dt≠0.
- [0.5 marks] At t=2 the value is 5/3.
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