If y=x/(sqrt(a^2-1))-2/(sqrt(a^2-1))tan^...

If `y=x/(sqrt(a^2-1))-2/(sqrt(a^2-1))tan^(-1)((sinx)/(a+sqrt(a^2-1)+cosx))` where `a in (-oo,\ -1)uu(1,\ oo)` then `y '(pi/2)` equals `1/a` (b) `2/a` (c) `1/(2a)` (d) `a`

Similar Questions

Explore conceptually related problems

If y=(x)/(sqrt(a^(2)-1))-(2)/(sqrt(a^(2)-1))tan^(-1)((sin x)/(a+sqrt(a^(2)-1)+cos x)) where a (-oo,-1)uu(1,oo) then y'((pi)/(2)) equals

y=tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))), where -1

If y=sqrt(sinx+y) then (dy)/(dx)= (a) (sinx)/(2y-1) (b) (sinx)/(1-2y) (c) (cosx)/(1-2y) (d) (cosx)/(2y-1)

If cosx=(2cosy-1)/(2-cosy), where x , y in (0,pi) then tan(x/2)cot(y/2) is equal to sqrt(2) (b) sqrt(3) (c) 1/(sqrt(2)) (d) 1/(sqrt(3))

If (sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))=cot(a+x/2) and x in (pi,2pi) then 'a' is equal to :

If 2y=(cot^(-1) ((sqrt3cosx+sinx)/(cosx-sqrt3sinx)))^2, x in (0,pi/2) then y' is equal to

lim_(x rarr oo) sqrt(x^(2)+1)- sqrt(x^(2)-1) = a)-1 b)1 c)0 d)2

If y = tan^(-1) sqrt((1-cos x)/(1+cosx)) , then (d^(2)y)/(dx^(2)) = =

If y=sqrt(cosx+sqrt(cosx+sqrt(cosx+...oo))) , prove that (dy)/(dx)=(-sinx)/((2y-1)) .