y=(1)/(sqrt(a^(2)-x^(2))),(dy)/(dx)=?

If y=(1)/(sqrt(a^(2)-x^(2)) , find (dy)/(dx) .

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

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

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

Solve the following differential equations. (i) (dy)/(dx) =(1+y^(2))/(1+x^(2)) (ii) (dy)/(dx) = (sqrt(1-y^(2)))/(sqrt(1-x^(2))) (iii) (dy)/(dx) = 2y tan hx (iv) sqrt(1+x^(2))dx + sqrt(1+y^(2))dy = 0 (v) (dy)/(dy) = e^(x-y)+x^(2)e^(-y)

if sqrt(x^(2)+y^(2))=e^(t) where t=sin^(-1)((y)/(sqrt(x^(2)+y^(2)))) then (dy)/(dx) is equal to

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

If y=cot^(-1)(sqrt(1+x^2)/x) then (dy)/(dx)=?

If y=tan^(-1)[(x-sqrt(1-x^(2)))/(x+sqrt(1-x^(2)))]," then "(dy)/(dx)=

If y= tan ^-1 ((x)/sqrt(a^2-x^2)) then dy/dx =?