Home
Class 11
MATHS
Find the derivative of y=x^(y)....

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

Text Solution

Verified by Experts

The correct Answer is:
`(y^(2))/(x(l-ylogy))`
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 y=(px^(2)+qx+r)/(ax+b) .

Find the derivative of y=x Tan^(-1)x.

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

Find the derivative of y=sin^(m)x.cos^(n)x.

Find the derivative of y=Tan^(-1)(tanh""(x)/(2)) .

Find the derivative of y=Cot^(-1)(cosec3x) .

Find the derivative of y=(ax+b)^(a).(cx+d)^(m).

Find the derivative of y = x Tan^(-1)x

Find the derivative of y = log_()(log x)

Find the derivative of y=sin(x+a)/(cosx) .

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIATION-Exercise-9(c )
  1. Find the derivative of f (x) w.r.t. g(x) for the f (x) = Tan ^(-1) (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If x^(y) + y^(x) = a^(b) then prove that (dy)/(dx)=-[(yx^(y-1)+y^(x)L...

    Text Solution

    |