If y= sin-1[x*sqrt(1-x) - sqrt(x)*sqrt(1-x2)] find dy/dx Share with your friends Share 9 Manbar Singh answered this We have,y = sin-1x1-x - x1-x2 ....1Put x = sin α and 1 - x = cos βNow, cos α = 1-sin2α = 1 - x2and sin β = 1 - cos2β = 1 - 1+x = xNow, 1 can be written as : y = sin-1sin α . cos β - cos α . sin β⇒y = sin-1sinα-β⇒y = α-β⇒y = sin-1x - cos-11-x⇒dydx = 11-x2 - -11 - 1-x×ddx1-x⇒dydx = 11-x2 + 1x×-121-x⇒dydx = 11-x2 - 12x1-x 21 View Full Answer
