1.

निम्न फलन का x के सापेक्ष अवकलन कीजिए| ` y= sin ^(-1) ((x)/(sqrt(1+x^(2))))`

Answer» `" "y=sin ^(-1) ((x)/(sqrt(1+x^(2))))`
माना `x=tan theta rArr theta =tan ^(-1) x `
` y= sin ^(_1) [ (tan theta )/(sqrt(1+tan ^(2)theta )]]`
` therefore " "y=sin ^(-1) [(tan theta )/(sectheta )] =sin ^(-1) (sin theta ) `
` rArry=theta " " (becausetheta =tan ^(-1) x )`
` therefore " "y= tan ^(-1) x `
` rArr" "(dy)/(dx) =(d)/(dx) tan ^(-1) x= (1)/(1+x^(2))`
अतः ` (dy)/(dx) =(1)/(a+x^(2))`


Discussion

No Comment Found

Related InterviewSolutions