Home
Class 12
MATHS
If u=log((x^2+y^2)/(x+y)), prove that x(...

If `u=log((x^2+y^2)/(x+y))`, prove that `x(delu)/(delx)+y(delu)/(dely)=1`

Promotional Banner

Similar Questions

Explore conceptually related problems

If u = cos ^(-1) ((x)/(y)) prove that x (del u)/(delx) + y (del u)/(dely)=0.

If u=log((x^2+y^2)/(xy)) then x(delu)/(delx)+y(delu)/(dely) is ..........

If u = sin ^(-1) ((x ^(3) + y ^3)/(x-y)) show that x (del u)/(delx) + y (del u )/(del y) = 2 tan u.

If u=sin^(-1)((x+y)/(sqrtx+sqrty)) show that x(delu)/(delx)+y(delu)/(dely)=1/2 tan u.

If u =sqrt(x ^(4) +y ^(4)) show that x (delu)/(delx) + y ( del u)/(dely) =2u.

If u =tan^(-1)((x ^(4) +y ^(4))/(x ^(2)-y ^(2))) show that x (delu)/(delx) + y(del u)/(dely) = sin 2u.

If u = log ((x ^(2) y + y ^(2) x)/(xy)) then x (del u)/( del x) + y (del u)/(del y)=

If u = (x^2+y^2+z^2)^(-1/2) then prove that (del^2u)/(delx^2)+(del^2u)/(dely^2)+(del^2u)/(delz^2) =0

If log ((x^(2) -y^(2))/( x^(2)+ y^(2))) =a, Prove that (dy)/(dx) =(y)/(x).

If u=1/(sqrt(x^2+y^2)) , then x(delu)/(delx)+y(delu)/(dely) is equal to ..........