Home
Class 12
MATHS
Obtain dy/dx when: x^3+y^3+3axy=0...

Obtain `dy/dx` when:
`x^3+y^3+3axy=0`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

Obtain dy/dx when: x^2+y^2+2axy=0

Find dy/dx when xy^3 - x^3 y = y

Find dy/dx when xy^3 - x^3 y = x

Obtain dy/dx when: x^4+y^4+4xy-100=0

Obtain dy/dx when: x^2+y^2+2gx+2fy+c=0

Find dy/dx when 2x+3y = cos x.

Find dy/dx when y = x^x, x > 0

Find dy/dx when y = a^x x^a, a > 0

Use implicit differentation to verify that dy/dx.dx/dy = 1 when x^3 + y^3 = 3 ax y .

Find dy/dx if y= 3^x

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find the derivative of f(x) w.r.t x in the following: g(x) = root3(5...

    Text Solution

    |

  2. Obtain dy/dx when: x^2+y^2+2axy=0

    Text Solution

    |

  3. Obtain dy/dx when: x^3+y^3+3axy=0

    Text Solution

    |

  4. Obtain dy/dx when: x^2+y^2+2gx+2fy+c=0

    Text Solution

    |

  5. Obtain dy/dx when: x^4+y^4+4xy-100=0

    Text Solution

    |

  6. If xsqrt(1+y) + ysqrt(1+x) = 0 for x lies between -1 and 1 prove that ...

    Text Solution

    |

  7. If y=sqrtx+1/(sqrtx), then show that 2x(dy)/(dx)+y = 2√ x

    Text Solution

    |

  8. Find dy/dx for each of the following: y = (x^2+3x+5)(x^2-2)^2

    Text Solution

    |

  9. Find dy/dx for each of the following: y=(sqrtx+1/sqrtx)(1+x+x^2)

    Text Solution

    |

  10. Find dy/dx for each of the following: y=((x-sqrtx)/(1-2x))^2

    Text Solution

    |

  11. Find dy/dx for each of the following: y=(1/(1+x))(x^-2+2/x-1)+root3(...

    Text Solution

    |

  12. Find dy/dx for each of the following: y=root3(x^2(x^2+3))

    Text Solution

    |

  13. If cosy = xcos(a+y), with cos a ne +-1, prove that dy/dx = (cos^2(a+y...

    Text Solution

    |

  14. If sin y = x sin (a+y), then show that: dy/dx=(sina)/(1-2xcosa+x^2)

    Text Solution

    |

  15. Differentiate the following w.r.t. x: tan^-1sqrtx

    Text Solution

    |

  16. Differentiate the following w.r.t. x: cos^-1(x/(x+1))

    Text Solution

    |

  17. Differentiate the following w.r.t. x: sin^-1(xsqrtx),0lexle1

    Text Solution

    |

  18. Differentiate the following w.r.t. x: (tan^-1x)^2

    Text Solution

    |

  19. Differentiate the following w.r.t. x: x sec^-1x

    Text Solution

    |

  20. Differentiate the following w.r.t.x. cos^(-1) (sin x)

    Text Solution

    |