Home
Class 12
MATHS
If f(x) is a differentiable function for...

If `f(x)` is a differentiable function for all `x in R` such that `f(x)` has fundamental period 2.` f(x)=0` has exactly two solutions in `[0,2],` also `f(0)!=0` lf minimum number of zeros of `h(x) = f' (x) cos x-f(x)sin x` in `(0,99)` is `120 +k,` then k is ......

Text Solution

Verified by Experts

The correct Answer is:
7
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise For Session 2|4 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If f(x) is a differentiable function of x then lim_(h rarr0)(f(x+3h)-f(x-2h))/(h)=

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) be a differentiable function for all positive numbers such that f(x.y)=f(x)+f(y) and f(e)=1 then lim_(x rarr0)(f(x+1))/(2x)

Let f be a differentiable function such that f(0)=e^(2) and f'(x)=2f(x) for all x in R If h(x)=f(f(x)) ,then h'(0) is equal to

f:R rarr R,f(x) is differentiable such that f(x)=k(x^(5)+x).(kne0) Then f(x) is

If a differentiable function f(x) has a relative minimum at x=0, then the function g = f(x) + ax + b has a relative minimum at x =0 for

f: R rarr R, f(x) is a differentiable function such that all its successive derivatives exist. f'(x) can be zero at discrete points only and f(x)f''(x) le 0 AA x in R If f'(x) ne 0 , then maximum number of real roots of f''(x) = 0 is /are

Let f(x) be a non-constant thrice differential function defined on (-oo,oo) such that f((x+13)/(2))=f((3-x)/(2)) and f'(0)=f'((1)/(2))=f'(3)=f'((9)/(2))=0 then the minimum number of zeros of h(x)=(f'(x))^(2)+f'(x)f''(x) in the interval [0,9] is 2k then k is equal to

If f(x) is twice differentiable in x in[0,pi] such that f(0)=f(pi)=0 and int_(0)^((pi)/(2))(f(2x)+f'(2x))sin x cos xdx=k pi ,then k is

ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If f(x) is a differentiable function for all x in R such that f(x) has...

    Text Solution

    |

  2. For every pair of continuous functions f,g:[0,1]->R such that max{f(x)...

    Text Solution

    |

  3. Let f:R-> R and g:R-> R be respectively given by f(x) = |x| +1 and g...

    Text Solution

    |

  4. Let f(x)={x^2|(cos)pi/x|, x!=0 and 0,x=0,x in RR, then f is

    Text Solution

    |

  5. Q. For every integer n, let an and bn be real numbers. Let function f:...

    Text Solution

    |

  6. Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

    Text Solution

    |

  7. "If "f(x)={{:(,-x-(pi)/(2),x le -(pi)/(2)),(,-cos x,-(pi)/(2) lt x le ...

    Text Solution

    |

  8. For the fucntion f(x)=x cos ""1/x, x ge 1 which one of the following i...

    Text Solution

    |

  9. Let g(x) = ((x -1)^(n))/(log cos^(m)(x-1)),0 lt x lt 2, m and n are in...

    Text Solution

    |

  10. Let f and g be real valued functions defined on interval (-1, 1) such ...

    Text Solution

    |

  11. In the following, [x] denotes the greatest integer less than or equal ...

    Text Solution

    |

  12. If f(x)=min.(1,x^2,x^3), then

    Text Solution

    |

  13. Let f(x) = ||x|-1|, then points where, f(x) is not differentiable is/a...

    Text Solution

    |

  14. lff is a differentiable function satisfying f(1/n)=0,AA n>=1,n in I, t...

    Text Solution

    |

  15. The domain of the derivative of the function f(x)={t a n^(-1)x ,if|x|l...

    Text Solution

    |

  16. The left hand derivative of f(x)=[x]sin(pix) at x = k, k is an intege...

    Text Solution

    |

  17. Which of the following functions is differentiable at x = 0? cos (|x|...

    Text Solution

    |

  18. For x in R, f(x) = | log 2- sin x| and g(x) = f(f(x)), then

    Text Solution

    |

  19. If the function g(x)={{:(,k sqrt(x+1),0 le x le3),(,mx+2,3lt xle5):...

    Text Solution

    |

  20. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  21. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

    Text Solution

    |