Home
Class 12
MATHS
If u=log((x^2+y^2)/(xy)) then x(delu)/(d...

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

A

0

B

u

C

2u

D

u - 1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise EXERCISE - 8.7|6 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos

  • DISCRETE MATHEMATICS

    FULL MARKS|Exercise Additional Question Solved|20 Videos

Similar Questions

Explore conceptually related problems

If f = (x+y)/(sqrt(x-y)) then x (delf)/(delx) +y (delf)/(dely) is :

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

If u=(x-y)^(2) , then (del u)/(del x) + (del u)/(del y) is

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

If z= log""(x^2 + y^2)/(x+y) then x(∂z)/(∂x)+ y(∂z)/(∂y) is :

If u (x,y) =x ^(2) + 2xy-y ^(2) then (del u)/(del x) + (delu)/(del y) is:

If u=log (x^(3) + y^(3) +z^(3) - 3xyz) , then (del u)/(del x) + (del u)/(del y) + (del u)/(del z)=

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= tan^(-1) ((x^(3) + y^(3))/(x-y)) , Prove that x(del u)/(del x) + y(del u)/(del y) = sin 2u .

FULL MARKS-DIFFERENTIALS AND PARTIAL DERIVATIVES -Additional Questions Solved
  1. If u=x^2+3xy+y^2 Verify (del^2u)/(delxdely)=(del^2u)/(delydelx).

    Text Solution

    |

  2. If u = x/y^2- y/x^2 , show that (del^2u)/(delxdely)=(del^2u)/(delydelx...

    Text Solution

    |

  3. Suppose that z=ye^(x^2) where x = 2t and y = 1 then find (dz)/(dt)

    Text Solution

    |

  4. If w=x+2y+z^2and x= cos t , y = sin t, z = t Find (dw)/(dt) .

    Text Solution

    |

  5. If f(x,y) = 1/(sqrt(x^2+y^2)) then show that x(delf)/(delx)+y(delf)/...

    Text Solution

    |

  6. Using Euler's theorem , prove that x(delu)/(delx)+y(delu)/(dely)=1/2ta...

    Text Solution

    |

  7. If u= x^y then is equal to ..........

    Text Solution

    |

  8. If u= sin^(-1)((x^(4) + y^(4))/(x^(2) + y^(2))) and f= sin u then f is...

    Text Solution

    |

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

    Text Solution

    |

  10. The curve y^2(x-2)=x^2(1+x) has .......

    Text Solution

    |

  11. If x= r cos theta, y = r sin theta, then (del r)/(del x)=

    Text Solution

    |

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

    Text Solution

    |

  13. The percentage error in the 11th root of the number 28 is approximatel...

    Text Solution

    |

  14. The curve a^2y^2=x^2(a^2-x^2) has .......

    Text Solution

    |

  15. An asymptote to the curve y^2(a+2x)=x^2(3a-x) is ...........

    Text Solution

    |

  16. In which region the curve y^2(a+x)=x^2(3a-x) does not lie ?

    Text Solution

    |

  17. If u= y sin x then (del^(2)u)/(del x del y)=

    Text Solution

    |

  18. If u=f(y/x), then x(del u)/(del x) + y(del u)/(del y)=

    Text Solution

    |

  19. The curve 9y^2=x^2(4-x^2) is symmetrical about .......

    Text Solution

    |

  20. The curve ay^2=x^2(3a-x) cuts the y - axis at .........

    Text Solution

    |