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`sin^(-1)((1)/(sqrt(1+x^(2))))` का x के सापेक्ष अवकल गुणांक ज्ञात कीजिए। |
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Answer» माना `y=sin^(-1)((1)/(sqrt(1+x^(2))))` तथा `" "x=cot theta` `therefore" "y=sin^(-1)((1)/(sqrt(1+cot^(2)theta)))=sin^(-1)((1)/("cosec "theta))` `=sin^(-1)(sin theta)=theta=cot^(-1)x` `rArr" "(dy)/(dx)=(d)/(dx)cot^(-1)x=(-1)/(1+x^(2))` |
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