" 39."cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^(2))

If quad cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^(2)),-(1)/(2)

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

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) , -1/2ltxlt0 , find (dy)/(dx)

Find dy/dx when y = cos^-1 (2x) + 2 cos^-1 sqrt(1-4x^2)

sin^(2)(cos^(-1)x)+cos^(2)(sin^(-1)(sqrt(1-x^(2)))) = ________ (0ltxlt1)

If 1/(sqrt(2))

cos^(-1)(sqrt(1+cos x)/2)

If (1)/(sqrt2) lt x lt 1 , then prove that cos^(-1) x + cos^(-1) ((x + sqrt(1 - x^(2)))/(sqrt2)) = (pi)/(4)