(x)=(1)/(x-sqrt(x))

Differentiate (sqrt(x)+(1)/(x))(x-(1)/sqrt(x)) with respect to 'x'.

Differentiate (sqrt(x)+(1)/(x))(x-(1)/sqrt(x)) with respect to 'x'.

Given f(x):(1)/(sqrt(|x|-x))andg(x)=(1)/(sqrt(x-|x|)) , then :

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

Find the domain of each of the following functions given by f(x)=(1)/(sqrt(x-|x|)) (ii) f(x)=(1)/(sqrt(x+|x|)) (iii) f(x)=(1)/(sqrt(x-[x]))( iv )f(x)=(1)/(sqrt(x+[x]))

Find the domain of each of the following functions given by f(x)=1/(sqrt(x-|x|)) (ii) f(x)=1/(sqrt(x+|x|)) (iii) f(x)=1/(sqrt(x-[x])) (iv) f(x)=1/(sqrt(x+[x]))

If (x+sqrt(x^2-1))/(x-sqrt(x^2-1))+(x-sqrt(x^2-1))/(x+sqrt(x^2-1))= 14 ,then find the value of x.

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

Simplify : (a) sqrt(y+sqrt(2xy-x^(2))) + sqrt(y-sqrt(2xy-x^(2))) (b) (x+sqrt(x^2-1))/(x-sqrt(x^(2)-1)) -(x-sqrt(x^(2)-1))/(x+sqrt(x^(2)-1))