If `x=sqrt(a^(sin^-1t))` ,`y=sqrt(a^(cos^-1t))`, then `(dy)/(dx)=.........`

If x=sqrt(a^(sin^(-1)t)), y=sqrt(a^(cos^(-1)t)) , show that (dy)/(dx)=-y/x

If x=sqrt(a^sin^(-1t) , y=sqrt(a^cos^((-1)t)) , show that (dy)/(dx)=-y/x

If x=sqrt(a^(sin^(-1)t)), y=sqrt(a^(cos^(-1)t)) , Show that (dy)/(dx)=-y/x .

If x=sqrt(a^sin^((-1)t)), y=sqrt(a^cos^((-1)t)) , show that (dy)/(dx)=-y/x

If x = sqrt(a^(sin^(-1)t)) , y = sqrt(a^(cos^(-1)t) then show that, dy/dx=-y/x.

For t in (0,1), Let \x= sqrt( 2 ^(sin^(-1)(t))) and y=sqrt(2 ^(cos^(-1)(t))) then 1+ ((dy)/(dx))^(2) equals :

If x=a^(sin^-1 t) ,\ y=a^(cos^-1t) ,\ show that (dy)/(dx)=-y/x

y=sin(sqrt(cos sqrt(x))) ,then dy/dx=

x=a(t-sin t),y=a(1+cos t) then (dy)/(dx) =

If x=a sin t,y=b cos t, then (dy)/(dx)=