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Class 12 Continuity And Differentiability · Mcq Single Correct1 Markschain_and_product_rules

Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #25

Differentiate sec(arctan x).

✅ Step-by-Step Solution

Final Answer: Option (A): x/√(1+x²)
  1. Since arctan x lies in (−π/2,π/2), sec(arctan x)=√(1+x²), whose derivative is x/√(1+x²).

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