Home
Class 11
MATHS
Find the derivative of x^(4)+y^(4)-a^(2)...

Find the derivative of `x^(4)+y^(4)-a^(2)xy=0`.

Text Solution

Verified by Experts

The correct Answer is:
`(a^(2)y-4x^(3))/(4y^(3)-a^(2)x)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(d)|15 Videos

  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(b)|37 Videos

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(h)|35 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISE -6(B)|21 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of 2x-(3)/(4)

Find the derivative of y = e^(2x)log (3x + 4)

Find the product of (-4xy)(2x - y).

Find the point to which the axes are to be translated to eliminate x and y terms (remove first degree terms) in the equation 2x^(2)+4xy+5y^(2)-4x-22y+7 = 0.

Find the second derivative of the function ( y" or (d ^(2) y)/(dx ^(2)) ), y=sin ^(4) x

The angle of rotation of axes to remove xy term in the equation x^(2) + 4xy + y^(2) - 2x + 2y -6=0 is

Find the derivative of the function (sqrtx + 1) (x ^(2) - 4x + 2), x gt 0

Find the value of xy+y^2x if x=1, y=0

Find the second derivative of the function (Find y" or (d ^(2) y)/(dx ^(2)) of the x ^(4) + tan x

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIATION-Exercise-9(c )
  1. Differentiate f(x) with respect to g(x) for the following . f(x)=sec...

    Text Solution

    |

  2. Find the derivative of f (x) w.r.t. g(x) for the f (x) = Tan ^(-1) (...

    Text Solution

    |

  3. Find the derivative of x^(4)+y^(4)-a^(2)xy=0.

    Text Solution

    |

  4. Find the derivative of y=x^(y).

    Text Solution

    |

  5. Find the derivative of the function y defined implicitly by each of th...

    Text Solution

    |

  6. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) then prove that dy/dx=(sqrt(1-y^...

    Text Solution

    |

  7. If y=xsqrt(a^(2)+x^(2))+a^(2)log(x+sqrt(a^(2)+x^(2))), then show that ...

    Text Solution

    |

  8. If x^(logy)=logx then find dy/dx.

    Text Solution

    |

  9. If y = tan^(-1)((3x-x^(3))/(1-3x^(2))) + tan^(-1) ((4x-4x^(3))/(1-6x^(...

    Text Solution

    |

  10. If x^(y)=y^(x) then show that dy/dx=(y(xlogy-y))/(x(ylogx-x)).

    Text Solution

    |

  11. If x ^(3) + y ^(3) =3 axy then (dy)/(dx) =

    Text Solution

    |

  12. Find the derivative dy/dx of the function y=((1-2x)^(2//3)(1+3x)^(-3//...

    Text Solution

    |

  13. Find the derivative (dy)/(dx) of each of the following functions. y=...

    Text Solution

    |

  14. Find (dy)/(dx) for the function (using logarithms). y = ((a - x ) ^(...

    Text Solution

    |

  15. Find (dy)/(dx) for the function (using logarithms). y = (x ^(3) sqrt...

    Text Solution

    |

  16. Differentiate sqrt(((x-3)(x^(2)+4))/((3x^(2)+4x+5))).

    Text Solution

    |

  17. Find the derivative of (sinx)^(log x)+x^(sinx).

    Text Solution

    |

  18. Find the derivatives of the following functions. x^(x^(x))

    Text Solution

    |

  19. Find the derivative of (ii) (sinx)^(x)+x^(sinx) w.r.to x.

    Text Solution

    |

  20. Find the derivatives of the following functions. x^(3)+(cotx)^(x)

    Text Solution

    |