`sin^(-1)(xsqrtx),0le x le1`

1.	`sin^(-1)(xsqrtx),0le x le1`
Answer» माना `y=sin^(-1)(xsqrtx)` `rArr" "(dy)/(dx)=(d)/(dx)sin^(-1)(xsqrtx)` `" "=(1)/(sqrt(1-(xsqrtx)^(2))(d)/(dx)(xsqrtx)` `" "=(1)/(sqrt(1-x^(3)))(d)/(dx)(x^(3//2))` `" "=((3)/(2)x^(1//2))/(sqrt(1-x^(3)))=(3sqrtx)/(2sqrt(1-x^(3)))`

Discussion