Home
Class 12
MATHS
Differentiate the following function ...

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

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise DIFFERENTIABILITY ( SHORT ANSWER TYPE QUESTIONS-II)|12 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)|29 Videos

  • DETERMINANTS

    OSWAAL PUBLICATION|Exercise TOPIC-2 SOLUTIONS OF SYSTEM OF LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS -II )|24 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following function with respect to 'x': (sin x+cos x)/(sin x-cosx) .

Differentiate the functions with respect to x . sin (ax+b)

Differentiate the functions with respect to x . cos ( sin x)

Differentiate the functions with respect to x 2sqrt(cot(x^2))

Differentiate the following with respect of x :log_3 x+3log_e x+2tanx

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

Differentiate the following w.r.t.x. x^sqrtx

Differentiate the following with respect of x : e^(aloga)+e^(alogx)+e^(aloga)

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

Differentiate the following w.r.t.x. sin^(3)x

OSWAAL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-DIFFERENTIABILITY ( LONG ANSWER TYPE QUESTIONS-I)
  1. If x=tan(1/alogy) , show that (1+x^2)(d^2y)/(dx^2)+(2x-a)(dy)/(dx)=0 .

    Text Solution

    |

  2. If x=costheta,ysin^3theta,"p r o v et h a t" y(d^2y)/(dx^2)+((dy)/(...

    Text Solution

    |

  3. Differentiate the following function with respect to x : (log"\ x...

    Text Solution

    |

  4. If x=asint\ and y=a(cost+logtant/2) , find (d^2\ y)/(dx^2)

    Text Solution

    |

  5. If y^x=e^(y-x) , prove that (dy)/(dx)=((1+logy)^2)/(logy)

    Text Solution

    |

  6. If siny=xsin(a+y), prove that (dy)/(dx)=(sin^2(a+y))/(sina)

    Text Solution

    |

  7. If xsin(a+y)+sinacos(a+y)=0,p rov et h a t (dy)/(dx)=(sin^2(a+y))/(si...

    Text Solution

    |

  8. Differentiate the following with respect to x : sin^(-1)((2^(x+1). 3^x...

    Text Solution

    |

  9. If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(...

    Text Solution

    |

  10. If y= x^(sin x- cos x)+ (x^(2)-1)/(x^(2)+1)," find "(dy)/(dx).

    Text Solution

    |

  11. If y=x^(cotx)+(2x^(2)-3)/(x^(2)+x+2), find (dy)/(dx).

    Text Solution

    |

  12. If x=cost+logtant/2,\ \ y=sint , then find the value of (d^2y)/(dt^2) ...

    Text Solution

    |

  13. If (cosx)^y=(cosy)^x , find (dy)/(dx)

    Text Solution

    |

  14. If y=(t a n^(-1)\ x^2) , show that (x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(...

    Text Solution

    |

  15. If y=3cos(logx)+4sin(logx),\ then show that x^2dot(d^2\ y)/(dx^2)+...

    Text Solution

    |

  16. If y=sin^(-1)x, show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0.

    Text Solution

    |

  17. Differentiate tan^(-1)[(sqrt(1+x^2)-1)/x] with respect to x

    Text Solution

    |

  18. If x=a(cos t+t\ s in\ t) and y=a\ (sint-t\ cos t),\ \ then find (d^2\...

    Text Solution

    |

  19. Differentiate tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x...

    Text Solution

    |

  20. If y=(sin^(-1)x)/(sqrt(1-x^2)) , show that (1-x^2)(d^2y)/(dx^2)-3x(dy)...

    Text Solution

    |