If `y=cos^(-1) [ x^(4/3)- sqrt((1-x^2)(1-x^(2/3))], 0<=x<=1`, find `(dy)/(dx)`

If y=(x cos^(-1)x)/(sqrt(1-x^(2)))-log sqrt(1-x^(2)), then prove that (dy)/(dx)=(co^(1-x)x)/((1-x^(2))^((3)/(2)))

3cos^(-1)x=sin^(-1)(sqrt(1-x^(2))(4x^(2)-1))

underset0 If y=cos^(-1){x sqrt(1-x)+sqrt(x)sqrt(1-x^(2))} and

cos^(-1)((x^(2))/(6)+sqrt(1-(x^(2))/(9))sqrt(1-(x^(2))/(4)))=cos^(-1)((x)/(3))-cos^(-1)((x)/(2)) hold for all x belonging to

If y=cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2), 0

If y=cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2) ,x is [-1/2,0] , find (dy)/(dx)

If y=cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2),\ \ \ x \ \ is \ [0,1/2] , find (dy)/(dx) .

(a) If y=cos(msin^(-1)x) prove that (1-x^(2))y_(3)-3xy_(2)+(m^(2)-1)y_(1)=0 (b) Find y'' if x^(4)+y^(4)=16 .

If y = cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2) , -1/2ltxlt0 , find (dy)/(dx)