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

(1)/(sqrt(2x))+sqrt(2x)

Evaluate the following limit: (lim)_(x rarr oo)(sqrt(x^(2)+a^(2))-sqrt(x^(2)+b^(2)))/(sqrt(x^(2)+c^(2))-sqrt(x^(2)+d^(2)))

Simplify : (sqrt(x^(2)+y^(2))-y)/(x-sqrt(x^(2)-y^(2)))-:(sqrt(x^(2)-y^(2))+x)/(sqrt(x^(2)+y^(2))+y)

Simplify (x-sqrt2)(x+sqrt2)

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

int(sqrt(1-x^(2))+sqrt(1+x^(2)))/(sqrt(1-x^(2))sqrt(1+x^(2)))dx=

Differentiate the following function (sqrt(x^(2)+1)+sqrt(x^(2)-1))/(sqrt(x^(2)+1)-sqrt(x^(2)-1))

Simplify (x+sqrt(x^(2)-1))/(x-sqrt(x^(2)-1))+(x-sqrt(x^(2)-1))/(x+sqrt(x^(2)-1))

Differentiate (sqrt(x^(2)+1)+sqrt(x^(2)-1))/(sqrt(x^(2)+1)-sqrt(x^(2)-1)) with respect to x: