Home
Class 12
PHYSICS
If f(x) is double differentiable functio...

If `f(x)` is double differentiable function such that `|f"(x)|le5` for each x in the interval [0,4] and f takes its largest value at an interior point of this interval , then value of `|f'(0)|+|f,'(4)|` cannot be -

A

10

B

15

C

21

D

28

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    ALLEN|Exercise PHYSICS|18 Videos

  • TEST PAPER 4

    ALLEN|Exercise PHYSICS|45 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (J-A)|7 Videos

Similar Questions

Explore conceptually related problems

If f is real-valued differentiable function such that f(x)f'(x)<0 for all real x, then

If f(x) is a differentiable function satisfying |f'(x)| le 2 AA x in [0, 4] and f(0)=0 , then

If f(x) is a differentiable function satisfying |f'(x)|le4AA x in [0, 4] and f(0)=0 , then

Let f be a differentiable function defined on R such that f(0) = -3 . If f'(x) le 5 for all x then

Given that f is a real valued differentiable function such that f(x) f'(x) lt 0 for all real x, it follows that

Let f(x) be a differentiable function and f(alpha)=f(beta)=0(alpha

Let f(x) be a differentiable function in the interval (0, 2) then the value of int_(0)^(2)f(x)dx

Let f(x) be a differentiable function in the interval (0,2) then the value of int_(0)^(2)f(x) is

ALLEN-TEST PAPERS-MATHS
  1. If complex number z(zne2) satisfies the equation z^(2)=4z+|z|^(2)+(16)...

    Text Solution

    |

  2. Let omegabe a complex number which satisfies iomega=(u^(2)-1)/(u^(2)+...

    Text Solution

    |

  3. If the function f(x)={{:((1+cospix)/(pi^(2)(x+1)^(2)),",",xlt-1),(ax...

    Text Solution

    |

  4. The value of the following limit lim(ntooo) n(n+1)(ln(1+(1)/(n))-sin((...

    Text Solution

    |

  5. number of solutions for x between 3 and 15 if int(0)^(x)[t]dt=int(0)^(...

    Text Solution

    |

  6. If the length of perpendicular from (0,0,0) to the plane ax+by+cz+d=0 ...

    Text Solution

    |

  7. A transversal cuts side AB and AD and diagonal AC of parallelogram ABC...

    Text Solution

    |

  8. Consider curve y=(1+x)^(y)+sin^(-1)(sin^(2)x). Which of the following ...

    Text Solution

    |

  9. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  10. Suppose y=f(x)andy=g(x) are two functions whose graph intersect at th...

    Text Solution

    |

  11. A function y=f(x) satisfies f"(x)=-(1)/(x^(2))-pisin(pix),f(2)=pi+(1)...

    Text Solution

    |

  12. Let(1+X^(2))^(2)(1+X)^(n)=sum(k=0)^(n+4)a(k)X^(k).ifa(1),a(2),a(3) ar...

    Text Solution

    |

  13. If f(x) is double differentiable function such that |f"(x)|le5 for ea...

    Text Solution

    |

  14. overline(x)andoverline(y) be two variable vectors satisfying simultan...

    Text Solution

    |

  15. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  16. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  17. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |

  18. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |