Home
Class 12
MATHS
If f(x)=[x]tan(πx) then f ′(k ^+ ) is eq...

If `f(x)=[x]tan(πx)` then `f ′(k ^+ ) `is equal to (where k is some integer and [.] denotes greatest integer function)

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 78

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 80

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If f (x) =[x] tan (pix ) then f '(k') is equal to (k in and [.] denotes greatest integer function):

Period of f(x)=sgn([x]+[-x]) is equal to (where [.] denotes greatest integer function

draw the graph of f(x)=x+[x.] denotes greatest integer function.

If f(x)=[2x], where [.] denotes the greatest integer function,then

If f(x)=[|x|, then int_(0)^(100)f(x)dx is equal to (where I.] denotes the greatest integer function)

If f(x)=[sin^(2) x] ([.] denotes the greatest integer function), then

If f(x)=[tan^(2)x] then (where [ast] denotes the greatest integer function)

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional part function and [.] denotes greatest integer function and sgn(x) is a signum function)

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

NTA MOCK TESTS-NTA JEE MOCK TEST 79-MATHEMATICS
  1. Negation of ''Monu is in class X or Anu is in class XII'' is

    Text Solution

    |

  2. The value of lim(xrarr0)(cos x+sin bx)^((a)/(x)) is equal to

    Text Solution

    |

  3. If f(x)=[x]tan(πx) then f ′(k ^+ ) is equal to (where k is some intege...

    Text Solution

    |

  4. Consider the integrals I=int(sinx)/(3cos x+4sinx)dx and J=int(cosx)/(3...

    Text Solution

    |

  5. If the area bounded by f(x)=tan^(3)x+tanx from x = 0 to x=(pi)/(4)is k...

    Text Solution

    |

  6. For the function f(x)=sin^(3)x-3sinx+4 AA x in [0, (pi)/(2)], which of...

    Text Solution

    |

  7. The curve satisfying the differential equation sin(x^(3))e^(y)dy+3x^(2...

    Text Solution

    |

  8. A possible three digit even number which can be formed with the condit...

    Text Solution

    |

  9. The discriminant of the quadratic (2x+1)^(2)+(3x+2)^(2)+(4x+3)^(2)+….n...

    Text Solution

    |

  10. Simplify P=1/(2sqrt(1)+sqrt(2))+1/(3sqrt(2)+2sqrt(3))+....+1/(100sqrt...

    Text Solution

    |

  11. The general solution of the equation sin^(2)x + cos^(2)3x =1 is equa...

    Text Solution

    |

  12. The line L(1):(x)/(5)+(y)/(b)=1 passes through the point (13, 32) and ...

    Text Solution

    |

  13. B&C are fixed points having co-ordinates (3,0) and (-3, 0) respectivel...

    Text Solution

    |

  14. The product of the slopes of the common tangents of the ellipse x^(2)+...

    Text Solution

    |

  15. For a complex number Z, if |Z-i|le2 and Z(1)=5+3i, then the maximum va...

    Text Solution

    |

  16. Consider a parabola y^(2)=4x with vertex at A and focus at S. PQ is a ...

    Text Solution

    |

  17. if sum(k)/(k+1)*"^100Ck=(a *2^100+b)/c where a,b,c in N then find the...

    Text Solution

    |

  18. The value of the integral I=int(0)^((pi)/(2))(sin^(3)x -cos^(3)x)/(1+s...

    Text Solution

    |

  19. If sqrt(x+y)+sqrt(y-x)=2, then the value of (d^(2)y)/(dx^(2)) is equal...

    Text Solution

    |

  20. Let veca and vecb are vectors such that |veca|=2, |vecb|=3 and veca. v...

    Text Solution

    |