Home
Class 11
MATHS
If y=x^(x^(x^x...oo) , find (dy)/(dx)...

If `y=x^(x^(x^x...oo)` , find `(dy)/(dx)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If y=x^x^x^^((((oo)))) , find (dy)/(dx)dot

Let y = x^(x^(x...oo))," then " (dy)/(dx) is equal to

If y=x^x+x^(1//x) , find (dy)/(dx)

If y=(sin x)^(x)+x^(2) find (dy)/(dx)

If y=x^x+(sinx)^x , find (dy)/(dx)

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

If y=x^(x^(x^(x...^(oo)))) , then x(1-ylogx)(dy)/(dx)

If x^y+y^x=2, find (dy)/(dx) .

If y=a^x+e^x+x^x+x^a , find (dy)/(dx) at x=a .

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

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Find the derivative of (sqrt(x)(x+4)^(3/2))/((4x-3)^(4/3))

    Text Solution

    |

  2. If ("lim")(tvecx)(e^tf(x)-e^xf(t))/((t-x)(f(x))^2)=2a n df(0)=1/2, the...

    Text Solution

    |

  3. If y=x^(x^(x^x...oo) , find (dy)/(dx)

    Text Solution

    |

  4. If y=e^(sqrt(x))+e^(-sqrt(x)) , then (dy)/(dx) is equal to (a)(e^(sqr...

    Text Solution

    |

  5. Differentiate sqrt(((x-1)(x-2))/((x-3)(x-4)(x-5))) with respect to x

    Text Solution

    |

  6. If f(x)=|sinx-|cosx||, then the value of f^'(x) at x=(7pi)/6 is (a) ...

    Text Solution

    |

  7. If y=(tanx)^((tanx)^((tanx).... ∞) ,then find (dy)/(dx) at x=pi/4

    Text Solution

    |

  8. If graph of y=f(x) is symmetrical about the y-axis and that of y=g(x)...

    Text Solution

    |

  9. Differentiate the function with respect to x using the first principle...

    Text Solution

    |

  10. If x=t^2,y=t^3,t h e n(d^2y)/(dx^2)= (a)3/2 (b) 3/((4t)) (c) 3/(2...

    Text Solution

    |

  11. Using the first principle, prove that: d/(dx)(f(x)g(x))=f(x)d/(dx)(g(x...

    Text Solution

    |

  12. If y=x+e^x, then (d^2x)/(dy^2) is (a) e^x (b) - e^x/((1+e^x)^3) (c) -e...

    Text Solution

    |

  13. If y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) , then find (dy)/(dx)dot

    Text Solution

    |

  14. Let f(x)=(lim)(h->0)(("sin"(x+h))^(1n(x+h))-(sinx)^(1nx))/hdot Then f...

    Text Solution

    |

  15. If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

    Text Solution

    |

  16. A function f: R->R satisfies sinxcosy(f(2x+2y)-f(2x-2y)=cosxsiny(f(2x+...

    Text Solution

    |

  17. If y=sqrt((1-cos2x)/(1+cos2x),)x in (0,pi/2)uu(pi/2,pi), then find (dy...

    Text Solution

    |

  18. If x=logp and y=1/p ,then (a)(d^2y)/(dx^2)-2p=0 (b) (d^2y)/(dx^2)+...

    Text Solution

    |

  19. If y=1+x/(1!)+(x^2)/(2!)+(x^3)/(3!)++(x^n)/(n !), show that (dy)/(dx)...

    Text Solution

    |

  20. Let y=1n(1+cosx)^2. Then the value of (d^2y)/(dx^2)+2/(e^(y/2)) equal

    Text Solution

    |