If `y=(1)/(a-z)` , then `(dz)/(dy)=`

If y= (1)/( a-z) , show that (dz)/( dy) = (z-a)^(2)

If x=(1)/(z), y=f(x) and (d^(2)y)/(dx^(2))=kz^(3)(dy)/(dz)+z^(4)(d^(2)y)/(dz^(2)) , then the value of k is -

If y=(a^cos^((-1)x))/(1+a^cos^((-1)x)) and z=a^cos^((-1)x) , then (dy)/(dz) is equal to........

If y=tan^(-1)((sqrt(1+x^(2))-1)/(x)) and z=tan^(-1)((2x)/(1-x^(2))) , then (dy)/(dz) is equal to -

If y=sin^(-1)x,z=cos^(-1)sqrt(1-x^(2))," then: "(dy)/(dz)=

If y=sin^(-1)xandz=cos^(-1)(sqrt(1-x^(2))) , then (dy)/(dz) is equal to

If y=f(x^3),z=g(x^5),f'(x)=tanx and g'(x)=sec x , then (dy)/(dz) =

If y=f(x^3),z=g(x^5),f'(x)=tanx and g'(x)=sec x , then (dy)/(dz) =

If z=xy^2+x^2y, x=at^2, y=2at then (dz)/(dt)=