Home
Class 11
MATHS
For function f(x) = xcosfrac(1)(x),xge 1...

For function `f(x) = xcosfrac(1)(x),xge 1`

A

for at least one x in interval `[1,infty), f(x+2) -f(x)gt2`

B

`lim_(xrarrinfty)f'(x) =1`

C

for all x in the interval `[1,infty), f(x+2) -f(x)lt2`

D

f'(x) is strictly decreasing in the interval `[1, infty)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The function f(x) = |x+1|

The function f(x)= x^((1)/(x)) is-

The function f(x)=|x+1| -

Draw the graph of the function, f(x)=sqrt(x)(xge0) .

The greatest value of the function f(x) = x^(2)"log" (1)/(x) is-

Function f(x)=log(x^3+sqrt1+x^6) is

If g is the inverse of a function f and f ' ( x ) = 1 / (1 + x^ n , Then g ' ( x ) i equal to

The range of the function f(x) =sin (sin ^(-1) x+cos ^(-1)x) (|x| le 1) is-

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

Let f and g be real function defined by f(x)= sqrt(x+4),xge-4andg(x)=sqrt(x-4),xge4. Let the function f+g,f-g

PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. If f (x) = min { 1, x^2 , x^3} then

    Text Solution

    |

  2. Let L=lim(x rarr0)(a-sqrt(a^2-x^2)-x^2/4)/x^4, a gt 0. If L is finite,...

    Text Solution

    |

  3. For function f(x) = xcosfrac(1)(x),xge 1

    Text Solution

    |

  4. মান নির্ণয় করো cos sin^-1(-sqrt3/2)

    Text Solution

    |

  5. The function y = sin^-1(cosx) is not differentiable at

    Text Solution

    |

  6. If f(x) = 0 for x lt 0 and f(x) is differentiable at x = 0 then for xg...

    Text Solution

    |

  7. Let f be a polynomial function such that f(x) f(y) + 2 = f(x) + f(y) +...

    Text Solution

    |

  8. Let f be a polynomial function such that f(x) f(y) + 2 = f(x) + f(y) +...

    Text Solution

    |

  9. Let f be a polynomial function such that f(x) f(y) + 2 = f(x) + f(y) +...

    Text Solution

    |

  10. Newton-Leinbnitz's formula states that d/dx(int(phi(x))^(psi(x)) f(t)d...

    Text Solution

    |

  11. Newton-Leinbnitz's formula states that d/dx(int(phi(x))^(psi(x)) f(t)d...

    Text Solution

    |

  12. Newton-Leinbnitz's formula states that d/dx(int(phi(x))^(psi(x)) f(t)d...

    Text Solution

    |

  13. f(x) is not differentiable at x=c if either Lf'( c )neRf'( c ) [if the...

    Text Solution

    |

  14. If f(x)={(x[x], 0lexlt2),((x-1)[x],2lexle3):}, then f(x) is

    Text Solution

    |

  15. f(x) is not differentiable at x=c if either Lf'( c )neRf'( c ) [if the...

    Text Solution

    |

  16. Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x). A...

    Text Solution

    |

  17. Match List - I with List-II

    Text Solution

    |

  18. If [x] denotes greatest integer le x, then match the following limits ...

    Text Solution

    |

  19. Match List - I with List-II

    Text Solution

    |

  20. The value of lim(xrarr1)(x+x^2+x^3+...+x^97-97)/((x-1)) must be M. The...

    Text Solution

    |