यदि `y=sin^(-1)x+sin^(-1)sqrt(1-x^(2)), 0lt xlt 1` है तो `(dy)/(dx)` ज्ञात कीजिए ।

यदि `y=sin^(-1)x+sin^(-1)sqrt(1-x^(2)), 0lt xlt 1` है तो

1.	यदि `y=sin^(-1)x+sin^(-1)sqrt(1-x^(2)), 0lt xlt 1` है तो `(dy)/(dx)` ज्ञात कीजिए ।
Answer» `y=sin^(-1)x+sin^(-1)sqrt(1-x^(2))` माना `x=sin theta` `=theta+sin^(-1)sqrt(1-sin^(2)theta)=theta+sin^(-1)sqrt(cos^(2)theta)` `=theta+sin^(-1)(cos theta)=theta+sin^(-1)sin((pi)/(2)-theta)` `=theta+(pi)/(2)-theta=(pi)/(2)` `rArr" "(dy)/(dx)=(d)/(dx)((pi)/(2))=0`