Class 12 Continuity And Differentiability · Mcq Single Correct1 Markssecond_derivatives
Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #20
For y=arcsin x, |x|<1, write y₁=y′ and y₂=y″. Find (1−x²)y₂.
✅ Step-by-Step Solution
Final Answer: Option (A): xy₁
- y′=1/√(1−x²) and y″=x/(1−x²)^(3/2), so (1−x²)y₂=xy₁.
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