Home
Class 12
MATHS
Differentiate the following function ...

Differentiate the following function with respect to `x:` `(logx)^(cosx)`

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 the following function with respect to x : x^x

Differentiate the following functions with respect to 2^x^3

Differentiate the following functions with respect to 3^(e^x

Differentiate the following function with respect to x : (logx)^(logx)

Differentiate the following function with respect to x:x^(1/x)

Differentiate the following functions with respect to tan5x^0

Differentiate the following function with respect to x: 10^(logsinx)

Differentiate the following function with respect to x : (log\ x)^x+x^(logx)

Differentiate the following function with respect of x :(log)_(x^2)x

Differentiate the following function with respect to x:sin(x^x)

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate the following function with respect to x: (i)e^(xl...

    Text Solution

    |

  2. Differentiate the following function with respect to x: x^(cos^-...

    Text Solution

    |

  3. Differentiate the following function with respect to x: (logx)^(co...

    Text Solution

    |

  4. Differentiate the following function with respect to x:x^(1/x)

    Text Solution

    |

  5. If y=sqrt(x^2+a^2)," prove that "y(dy)/(dx)-x=0

    Text Solution

    |

  6. If y=e^x+e^-x, prove that (dy)/(dx)=sqrt(y^2-4)

    Text Solution

    |

  7. If x y=4,prove , x((dy)/(dx)+y^2)=3y

    Text Solution

    |

  8. Prove that d/(dx){x/2sqrt(a^2-x^2)+(a^2)/2sin^(-1)(x/a)}=sqrt(a^2-x^2)

    Text Solution

    |

  9. Differentiate the following with respect to x : cos^(-1)(sinx) and cot...

    Text Solution

    |

  10. If y=sin^(-1)((2x)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)),0ltxlt1, prove t...

    Text Solution

    |

  11. Differentiate the following function with respect to x : tan^(-1)(...

    Text Solution

    |

  12. If y=cot^(-1){(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))}...

    Text Solution

    |

  13. Find (dy)/(dx), when x=(e^t+e^(-t))/2 \ a n d \ y=(e^t-e^(-t))/2

    Text Solution

    |

  14. Find (dy)/(dx), when x=a e^(theta)(sintheta-costheta),y=a e^(theta)(si...

    Text Solution

    |

  15. Find (dy)/(dx), when x=a(theta+sintheta)a n dy=a(1-costheta)

    Text Solution

    |

  16. Differentiate the following function with respect to x : tan^(-1)(...

    Text Solution

    |

  17. Find (dy)/(dx), when x=(3a t)/(1+t^2)" and "y =(3a t^2)/(1+t^2)

    Text Solution

    |

  18. Differentiate the following function with respect to x : tan^(-1)(...

    Text Solution

    |

  19. Find (dy)/(dx), y=e^x+10^x+x^x

    Text Solution

    |

  20. Differentiate the following function with respect to x : tan^(-1){...

    Text Solution

    |