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Class 12 Continuity And Differentiability · Conceptual Answer1 Markschain_and_product_rules

Class 12 Maths · Continuity And Differentiability · Conceptual Answer #39

Differentiate sec²(x²) with respect to x².

✅ Step-by-Step Solution

Final Answer: 2sec²(x²)tan(x²)
  1. Set u=x², so d(sec²u)/du=2sec u·sec u tan u=2sec²u tan u.
  2. 2sec²(x²)tan(x²)

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Set u=x², so d(sec²u)/du=2sec u·sec u tan u=2sec²u tan u.
  • [0.5 marks] 2sec²(x²)tan(x²)

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