Home
Class 12
MATHS
Let f(x)=1+\ x\ ln\ (x+\ sqrt((x^2)+1)...

Let `f(x)=1+\ x\ ln\ (x+\ sqrt((x^2)+1))-\ sqrt((1)+x^2)a n d\ h(x)=f^(\ )(x)-f^2(x)+f^3(x)dot` Then ,

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

The function f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2)) is:

Domain of f(x)=log(1-x)+sqrt(x^(2)-1)

The function f(x)=log(x+sqrt(x^(2)+1)), is

let f(x)=sqrt(1+x^(2)) then

The function f(x)=log(x+sqrt(x^(2)+1)) is

The function f(x) = sin| log (x + sqrt(x^2 + 1)) | is :

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. The function f(x)= int0^x sqrt(1-t^4)dt is such that: (A) t is defi...

    Text Solution

    |

  2. On which of the following intervals is the function f given by f(x)=x...

    Text Solution

    |

  3. Let f(x)=1+\ x\ ln\ (x+\ sqrt((x^2)+1))-\ sqrt((1)+x^2)a n d\ h(x)=f...

    Text Solution

    |

  4. Let f(x)=a(x-x1)(x-x2)\ w h e r e\ a ,\ x1a n d\ x2\ are real n...

    Text Solution

    |

  5. Let f be a continuous function on R and satisfies f(x)=e^x + int0^1 e^...

    Text Solution

    |

  6. Consider the function f: R->\ R fined as f\ (x)\ =x\ +\ s in\ x . ...

    Text Solution

    |

  7. For the function f(x)\ =\ 1n\ (1-1n\ x) which of the following do ...

    Text Solution

    |

  8. Find the intervals in which f(x)=sinx-cosx , where 0 lt x lt2pi is in...

    Text Solution

    |

  9. Find the greatest & the least values of the following functions in ...

    Text Solution

    |

  10. Find the greatest and the least values of the following functions i...

    Text Solution

    |

  11. If b > a, find the minimum value of |(x-a)^3+|(x-b)^3|, x in R

    Text Solution

    |

  12. The interval to which a may belong so that the function f(x)=(1-(sqrt(...

    Text Solution

    |

  13. If f(x)=2e^x-ae^(-x)+(2a+1)x-3 monotonically increases for AA x in R,...

    Text Solution

    |

  14. Let fa n dg be differentiable on R and suppose f(0)=g(0)a n df^(prime)...

    Text Solution

    |

  15. Using L M V T prove that tanx > x in (0,pi/2),

    Text Solution

    |

  16. For what value of adot,\ a n d\ b does the function f(x)={3\ \ ...

    Text Solution

    |

  17. If f is a continuous function on the interval [a,b] and there exists ...

    Text Solution

    |

  18. Prove that following inequalities sinxlt=xlt=tanx\ AA\ in [0,pi/2...

    Text Solution

    |

  19. Find the intervals of monotonicity of the following f(x)=2x^2-"ln"|...

    Text Solution

    |

  20. Let f(x) be a increasing function defined on (0,\ oo)dot If f...

    Text Solution

    |