Home
Class 11
MATHS
Find the derivative of the w.r.to x. x...

Find the derivative of the w.r.to x.
`x ^(x sqrtx)`

Text Solution

Verified by Experts

The correct Answer is:
`x ^(x sqrtx +1//2) [1 + (3)/(2) log x ]`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.6|22 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.6 (SHORT TYPE ANSWER QUESTIONS )|37 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.4|24 Videos

  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of the w.r.to x. (x ^(x)) x

Find the derivative of the w.r.to x. x ^(x ^(x))

Find the derivative of the w.r.to x. x ^(x) + (cot x) ^(x)

Find the derivative of the w.r.to x. (log x) ^( tan x )

Find the derivative of the w.r.to x. (tan x)^( sin x)

Find the derivative of the w.r.to x. x ^(tan x ) + (sin x ) ^( cos x)

Find the derivative of the w.r.to x. (sin x ) ^(x) + x ^( sin x)

Find the derivative of the w.r.t.x sqrt (cos sqrtx)

Find the derivative of w.r.to x (cot x) ^(n)

AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.5
  1. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

    Text Solution

    |

  2. If ax ^(2) + 2 hxy + by ^(2) =0 then (dy )/(dx) =

    Text Solution

    |

  3. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

    Text Solution

    |

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

    Text Solution

    |

  5. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

    Text Solution

    |

  6. Find the derivative of the w.r.to x. (2x + 3) ^(x-5)

    Text Solution

    |

  7. Find the derivative of the w.r.to x. x ^(x ^(x))

    Text Solution

    |

  8. Find the derivative of the w.r.to x. (x ^(x)) x

    Text Solution

    |

  9. Find the derivative of the w.r.to x. x ^(x sqrtx)

    Text Solution

    |

  10. Find the derivative of the w.r.to x. (log x) ^( tan x )

    Text Solution

    |

  11. Find the derivative of the w.r.to x. (tan x)^( sin x)

    Text Solution

    |

  12. Find the derivative of the w.r.to x. x ^(x) + e ^(e ^(x))

    Text Solution

    |

  13. Find the derivative of the w.r.to x. x ^(x) + (cot x) ^(x)

    Text Solution

    |

  14. Find the derivative of the w.r.to x. (sin x ) ^(x) + x ^( sin x)

    Text Solution

    |

  15. Find the derivative of the w.r.to x. (sin x ) ^(log x) + x ^( sin x)

    Text Solution

    |

  16. Find the derivative of the w.r.to x. x ^(tan x ) + (sin x ) ^( cos x)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Find (dy)/(dx) for the function (using logarithms). y= ( x ^(4) (x ^...

    Text Solution

    |

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

    Text Solution

    |