Home
Class 12
MATHS
Differentiate the following w.r.t. x: ...

Differentiate the following w.r.t. x:
`(x+1/2)^x + x^(1+1/x)`

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

Differentiate the following w.r.t. x: (1/x)^x

Differentiate the following w.r.t. x: |2x-1|

Differentiate the following w.r.t. x: x^(x^2)

Differentiate the following w.r.t. x: (x^x)^x

Differentiate the following w.r.t. x: sin(x^2)

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

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

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

Differentiate the following w.r.t. x: cos(x^x)

Differentiate the following w.r.t. x: (sin x)^x

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Differentiate the following w.r.t. x: e^(sinx) + (tanx)^x

    Text Solution

    |

  2. Differentiate the following w.r.t. x: x^x - 2^(sinx)

    Text Solution

    |

  3. Differentiate the following w.r.t. x: (x+1/2)^x + x^(1+1/x)

    Text Solution

    |

  4. Differentiate the following w.r.t. x: x^(x^2-3) + (x-3)^(x^2), for x...

    Text Solution

    |

  5. Differentiate the following w.r.t. x: x^2 + (sinx)^x

    Text Solution

    |

  6. Differentiate the following w.r.t. x: ((ax+b) (cx+d))/((ax-b)(cx-d))...

    Text Solution

    |

  7. Differentiate the following w.r.t. x: (cos^(-1)x/2)/(sqrt(2x+7)), - ...

    Text Solution

    |

  8. Differentiate the following w.r.t.x . (sqrt((x - 3)(x^2 + 4)))/(3x^2...

    Text Solution

    |

  9. Differentiate the following w.r.t. x: x^2e^x sinx

    Text Solution

    |

  10. Differentiate the following w.r.t. x: e^x cos^3 x sin^2x

    Text Solution

    |

  11. Differentiate the following w.r.t. x: (x+6)^3 (x+2)^4(x+5)^5

    Text Solution

    |

  12. Differentiate the following w.r.t. x: sqrt((x-1)(x-2)(x-3)(x-4))

    Text Solution

    |

  13. If xy = e^(x-y), find dy/dx

    Text Solution

    |

  14. If (sin x)^Y = (sin y)^x , find dy/dx :

    Text Solution

    |

  15. If (cos x)^y = (cos y)^x, find dy/dx .

    Text Solution

    |

  16. Differentiate log(x^x + cosec^2x) w.r.t.x

    Text Solution

    |

  17. If x^p.y^q=(x+y)^(p+q) , show that dy/dx=y/x ;

    Text Solution

    |

  18. If y = x^y, prove that (dy)/(dx) = (y^2)/(x(1 - y log x))

    Text Solution

    |

  19. Differentiate the following w.r.t.x. If y^x = e^(y - x), prove that ...

    Text Solution

    |

  20. If x^x + y^x = 1, prove that : dy/dx = -[(x^x (1+logx) + y^x.logy)/(x....

    Text Solution

    |