Home
Class 12
MATHS
Differentiate: (logx)^x+x^(logx)w i t hr...

Differentiate: `(logx)^x+x^(logx)w i t hr e s p e c t to x :`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

Differentiate: (logx)^x+x^(logx) with respect to xdot

Differentiate (logx)^(logx) with respect to x :

Differentiate sin^(-1)(2xsqrt(1-x^2))w i t hr e s p e c ttox ,if -1/(sqrt(2)) < x < 1/(sqrt(2))

Differentiate (logx)^(cosx) with respect to x :

Differentiate tan^(-1)((1+2x)/(1-2x))w i t hr e s p e c ttosqrt(1+4x^2)

Differentiate (e^x+sinx)/(1+logx) with respect to x .

Differentiate (logx)^(sinx) with respect to x :

Differentiate (sinx)^(logx) with respect to x :

Differentiate (sinx)^(logx) with respect to x :

Differentiate (logx)^x with respect to logx .

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If x ylog(x+y)=1, prove that (dy)/(dx)=-(y(x^2y+x+y))/(x(x y^2+x+y))

    Text Solution

    |

  2. If (sin"x")^y=x+y ,p rov et h a t(dy)/(dx)=(1-(x+y)ycotx)/((x+y)logsin...

    Text Solution

    |

  3. Differentiate: (logx)^x+x^(logx)w i t hr e s p e c t to x :

    Text Solution

    |

  4. Find the derivative of (sqrt(x)(x+4)^(3/2))/((4x-3)^(4/3)) with respec...

    Text Solution

    |

  5. Differentiate the following functions with respect to x : (cos"x")^x ...

    Text Solution

    |

  6. Differentiate the following functions with respect to x : (i) (x^x...

    Text Solution

    |

  7. If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),f...

    Text Solution

    |

  8. If sqrt(y+x)+sqrt(y-x)=c ,s howt h a t(dy)/(dx)=y/x-sqrt((y^2)/(x^2)-1...

    Text Solution

    |

  9. If y=cos^(-1)sqrt((cos3x)/(cos^3x)),t h e ns howt h a t(dy)/(dx)=sqrt...

    Text Solution

    |

  10. If sqrt(1-x^2)+sqrt(1-y^2)=a(x-y),p rov et h a t(dy)/(dx)=sqrt((1-y^2...

    Text Solution

    |

  11. if x^2+y^2 = t - 1/t and x^4 + y^4 = t^2 + 1/t^2 then prove that dy/dx...

    Text Solution

    |

  12. If y=btan^(-1)(x/a+tan^(-1)y/x),find(dy)/(dx)dot

    Text Solution

    |

  13. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

    Text Solution

    |

  14. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

    Text Solution

    |

  15. Differentiate the functions with respect to x : tan^(-1){(sqrt(1+a^2x...

    Text Solution

    |

  16. Differentiate the functions with respect to x : cos^(-1){(cosx+sinx...

    Text Solution

    |

  17. If the derivative of tan^(-1)(a+b x) takes the value 1 at x=0, prove t...

    Text Solution

    |

  18. If y=sin[2tan^(-1){sqrt((1-x)/(1+x))}],find(dy)/(dx)

    Text Solution

    |

  19. If log(x^2+y^2)=2tan^(-1)(y/x), show that (dy)/(dx)=(x+y)/(x-y) .

    Text Solution

    |

  20. If y = cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2), -1/2ltxlt0 , find (dy)/(dx...

    Text Solution

    |