Home
Class 12
MATHS
f(x)=[sinx]+[cosx] ,x epsilon [0,2pi], w...

f(x)=[sinx]+[cosx] ,`x epsilon [0,2pi]`, where[.] denotes the greatest integer function. Total number of point where f (x) is non-differentiable is equal to

A

2

B

3

C

5

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL 2|103 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

Consider a function f (x) in [0,2pi] defined as : f(x)=[{:([sinx]+ [cos x],,, 0 le x le pi),( [sin x] -[cos x],,, pi lt x le 2pi):} where {.} denotes greatest integer function then. Number of points where f (x) is non-derivable :

f(x)=[sinx] where [.] denotest the greatest integer function is continuous at:

The function f(x)=1+x(sinx)[cosx], 0ltxlepi//2 , where [.] denotes greatest integer function

The function f(x)=1+x(sinx)[cosx], 0ltxlepi//2 , where [.] denotes greatest integer function

f(x) = 1 + [cosx]x in 0 leq x leq pi/2 (where [.] denotes greatest integer function) then

Range of f(x) =[1+sinx]+[cosx-1]+[tan^(- 1)x] AA x in [0,2pi] where [] denotes the greatest integer function is

If f(x)=([x])/(|x|), x ne 0 , where [.] denotes the greatest integer function, then f'(1) is

If f(x)=([x])/(|x|),x ne 0 where [.] denotes the greatest integer function, then f'(1) is

Draw the graph of f(x) = [x^(2)], x in [0, 2) , where [*] denotes the greatest integer function.

If f(x) =2 [x]+ cos x , then f: R ->R is: (where [ ] denotes greatest integer function)

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1
  1. Let f(x) be a function defined by f(x)={{:(,e^(x),x lt 2),(,a+bx,x ge ...

    Text Solution

    |

  2. Let f: R to R satisfies |f(x)|lex^(2)AAx in R. then show thata f(x)...

    Text Solution

    |

  3. f(x)=[sinx]+[cosx] ,x epsilon [0,2pi], where[.] denotes the greatest ...

    Text Solution

    |

  4. Discuss the continuity of the function f(x) = underset(n rarr oo)(lim)...

    Text Solution

    |

  5. If a function f : [-2a, 2a] rarr R is an odd function such that f(x) =...

    Text Solution

    |

  6. Let f(x+y) = f(x) f(y) and f(x) = 1 + x g(x) G(x) where lim(x->0) g(x)...

    Text Solution

    |

  7. Let f(x) be a continuous defined for 1le xle 3. if f(x) takes ra...

    Text Solution

    |

  8. Let f(x) = [ n + p sin x], x in (0,pi), n in Z, p is a prime number an...

    Text Solution

    |

  9. f(x)=min{1,cosx,1-sinx},-pilexlepi, then

    Text Solution

    |

  10. A function f(x) is defined in the interval [1,4) as follows f(x)={{:(,...

    Text Solution

    |

  11. Discuss the continuity of f(x)=(lim)(n->oo)(x^(2n)-1)/(x^(2n)+1)

    Text Solution

    |

  12. Discuss the continuity of function f(x)={{:(1,"if x is rational"),(...

    Text Solution

    |

  13. Let f(x)={(tan^(-1)x, , |x|ge1),((x^(2)-1)/4, , |x|lt1):} then domain ...

    Text Solution

    |

  14. No. of points of discontinuity of [ 2 x^3 - 5] in [1,2] is

    Text Solution

    |

  15. Discuss the differentiability of f(x)=m a x{2sinx ,1-cosx}AAx in (0,...

    Text Solution

    |

  16. Let f(x)= {{:((x)/(1+|x|)",", |x| ge1), ((x)/(1-|x|)",", |x| lt 1):},...

    Text Solution

    |

  17. Let y=tan((pi)/4+x/2). Then (dy)/(dx) at x=(pi)/4

    Text Solution

    |

  18. Let f(x) = lim( n to oo) m ( sin x)^(2n) then which of the follow...

    Text Solution

    |

  19. If f is a periodic function then

    Text Solution

    |

  20. If f(x+y)=f(x)f(y) for all x and y and f(X)=1+g(x)G(x) where lim(xto 0...

    Text Solution

    |