InterviewSolution
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InterviewSolution
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`(1)/(x+sqrt(1+x^(2)))` का x के सापेक्ष अवकल गुणांक ज्ञात कीजिए। |
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Answer» माना `y=(1)/(x+sqrt(1+x^(2)))` `=(1)/(x+sqrt(1+x^(2)))xx(x-sqrt(1+x^(2)))/(x-sqrt(1+x^(2)))` `=(x-sqrt(1+x^(2)))/(x^(2)-(1+x^(2)))=sqrt(1+x^(2))-x` `rArr" "(dy)/(dx)=(d)/(dx)(sqrt(1+x^(2))-x)` `=(d)/(dx)sqrt(1+x^(2))-(d)/(dx)x` `=(1)/(2sqrt(1+x^(2))).(d)/(dx)(1+x^(2))-1` `=(2x)/(2sqrt(1+x^(2)))-1=(x)/(sqrt(1+x^(2)))-1` |
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