Home
Class 12
MATHS
Let f be differentiable for all x , If f...

Let `f` be differentiable for all `x ,` If `f(1)=-2a n df^(prime)(x)geq2` for all `x in [1,6],` then find the range of values of `f(6)dot`

A

`f(6) lt5`

B

`f(6) = 5`

C

`f(6) ge 8`

D

`f(6) lt 8`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s B-Architecture Entrance Examination Papers|27 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

Let f be differentiable for all x, If f(1)=-2 and f'(x)>=2 for all x in[1,6] then find the range of values of f(6)

If f (x) is continous on [0,2], differentiable in (0,2) f (0) =2, f(2)=8 and f '(x) le 3 for all x in (0,2), then find the value of f (1).

Suppose f is a differentiable real function such that f(x)+f^(prime)(x)lt=1 for all x , and f(0)=0, then the largest possible value of f(1) is (1) e^(-2) (2) e^(-1) (3) 1-e^(-1) (4) 1-e^(-2)

Let f be a function which is continuous and differentiable for all real x.If f(2)=-4 and f'(x)>=6 for all x in[2,4], then

Suppose that f is differentiable for all x and that f^(prime)(x)lt=2fora l lxdot If f(1)=2a n df(4)=8,t h e nf(2) has the value equal to 3 (b) 4 (c) 6 (d) 8

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Question for Previous Year.s AIEEE/JEE Main Paper
  1. A function is matched below against an interval, where it is supposed ...

    Text Solution

    |

  2. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

    Text Solution

    |

  3. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  4. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |

  5. The function f(x)=x/2+2/x has a local minimum at x=2 (b) x=-2 x=0 (...

    Text Solution

    |

  6. A value of c for which the conclusion of Mean value theorem holds for ...

    Text Solution

    |

  7. The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...

    Text Solution

    |

  8. Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0...

    Text Solution

    |

  9. Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only re...

    Text Solution

    |

  10. Let f:""RvecR be defined by f(x)""={k-2x , if""xlt=-1 2x+3,f""x >-1} ....

    Text Solution

    |

  11. The curve that passes through the point (2, 3) and has the property ...

    Text Solution

    |

  12. Let be a function defined by f(x)={{:(tanx/x", "x ne0),(1", "x...

    Text Solution

    |

  13. Let a, b R be such that the function f given by f(x)""=""ln""|x|""+""...

    Text Solution

    |

  14. A spherical balloon is filled with 4500p cubic meters of helium gas...

    Text Solution

    |

  15. The cost of running a bus from A to B, is Rs. (av + b/v), where v km/h...

    Text Solution

    |

  16. If the surface area of a sphere of radius r is increasing uniformly at...

    Text Solution

    |

  17. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

    Text Solution

    |

  18. The maximum area of a right angled triangle with hypotenuse h is

    Text Solution

    |

  19. Statement-1: The equation x log x= 2-x is satisfied by at least one va...

    Text Solution

    |

  20. Statement 1 : The function x^2 (e^x+e^-x) is increasing for all x> 0 S...

    Text Solution

    |