If `y=2sin^(- 1)((x-2)/sqrt(6))-sqrt(2+4x-x^2)` then prove that `dy/dx` at x=2 is `2/sqrt6`

If y = 2 sin^(-1)(x-2)/sqrt6-sqrt(2+4x-x^2) , then show that (dy)/(dx)|_(x=2) = 2/sqrt6

y=2sin^(-1)((x-2)/(sqrt(6)))-sqrt(2+4x-x^(2)) then show that (dy)/(dx)|_(x=2)=(2)/(sqrt(6))

If y= 2"sin"^(-1)(x-2)/(sqrt(6))-sqrt(2+4x-x^(2)) , show that (dy)/(dx)" at " x=2 " is " (2)/(sqrt(6)) .

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

If y=x sin^(-1)x+sqrt(1-x^(2)) " then prove that " dy/dx=sin^-1x.

if y=(sin^(-1)x)/(sqrt(1-x^(2))), prove that (1-x^(2))(dy)/(dx)=xy+1

If y = (sin^-1x)/(sqrt(1-x^2)) , prove that (1-x^2)(dy/dx)- xy = 1

If y = (x sin^(-1) x)/(sqrt(1 - x^2)) + "log" sqrt(1 - x^2) , prove that (dy)/(dx) = (sin^(-1)x)/((1 - x^2)^(3//2))

If y=sin ^(-1)((x)/( sqrt(x^(2) +a^(2)))) ,then (dy)/(dx)=

If y = sqrt(x) + (1)/(sqrt(x)) prove that 2x(dy)/(dx) + y = 2sqrt(x)