" 18.If "2y=(cot^(-1)((sqrt(3)cos x+sin x)/(cos x-sqrt(3)sin x)))^(2),x in(0,(pi)/(2))" then "(dy)/(dx)" is equal to: "

If 2y=(cot^(-1)((sqrt3 cos x + sin x)/(cos x - sqrt3 sin x)))^(2) , x in (0, pi/2) " then " (dy)/(dx) is equal to

If 2y=(cot^(-1)((sqrt3 cos x + sin x)/(cos x - sqrt3 sin x)))^(2) , x in (0, pi/2) " then " (dy)/(dx) is equal to

Let 2y={(cot^(-1)(sqrt(3)cos x-sin x))/(cos x+sqrt(3)sin x))^(2) then (dy)/(dx) is equal to (A) x-(pi)/(6)(B)x+(pi)/(6)(C)2x-(pi)/(6)(D)2x-(pi)/(3)])

If y=cot^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))](0

If y=cos ^(-1) ((3cos x-2sin x )/( sqrt(13))),then (dy)/(dx)=

If y = cos^(-1) ((2cos x - 3 sin x)/(sqrt(13))), " then" (dy)/(dx) is equal to

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

If y = cos^(-1) ((2cos x - 3 sin x)/(sqrt(13))),then (dy)/(dx) is

int(sqrt(sin^(4)x+cos^(4)x))/(sin^(3)x cos x)dx,x in(0,(pi)/(2))

int(sqrt(sin^(4)x+cos^(4)x))/(sin^(3)x cos x)dx,x in(0,(pi)/(2))