2sqrt((a^(2)-x^(2))/(a^(2)+x^(2)))

Differentiate the following w.r.t.x. (sqrt(a^(2)+x^(2))+sqrt(a^(2)-x^(2)))/(sqrt(a^(2)-x^(2))-sqrt(a^(2)-x^(2)))

Differentiate the following w.r.t.x. (sqrt(a^(2)+x^(2))+sqrt(a^(2)-x^(2)))/(sqrt(a^(2)-x^(2))-sqrt(a^(2)-x^(2)))

Differentiate the following w.r.t.x. (sqrt(a^(2)+x^(2))+sqrt(a^(2)-x^(2)))/(sqrt(a^(2)-x^(2))-sqrt(a^(2)-x^(2)))

Evaluate: int(sqrt((a^(2)+b^(2))/(2)))/(sqrt((3a^(2)+b^(2))/(2)))(x*dx)/(sqrt((x^(2)-a^(2))(b^(2)-x^(2))))

Differentiate the following w.r.t.x. (sqrt(a^(2)+x^(2))+sqrt(a^(2)-x^(2)))/(sqrt(a^(2)+x^(2))-sqrt(a^(2)-x^(2)))

Evaluate the following limits : lim_(x to 0)(sqrt(a^(2)+x^(2))-sqrt(a^(2)-x^(2)))/x^(2).

If =(sqrt(a^(2)+x^(2))+sqrt(a^(2)-x^(2)))/(sqrt(a^(2)+x^(2))-sqrt(a^(2)-x^(2))), show that (dy)/(dx)=(2a^(2))/(x^(3)){1+(a^(2))/(sqrt(a^(4)-x^(4)))}

The solutions of (xdx+ydy)/(xdy-ydx)=sqrt((a^(2)-x^(2)-y^(2))/(x^(2)+y^(2))) is

(d)/(dx ) {(sqrt(a^(2)+x ^(2))+ sqrt(a ^(2) -x ^(2)))/(sqrt(a ^(2) + x ^(2)) - sqrt(a ^(2) - x ^(2)))}=