Home
Class 12
MATHS
If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2lt...

If `f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3` and [x] denotes the greatest integer less than or equal to x, then `f'"("sqrt(pi//3)")"` is equal to

A

`sqrt(pi//3)`

B

`-sqrt(pi//3)`

C

`-sqrt(pi)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|16 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|8 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

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

Similar Questions

Explore conceptually related problems

If f(x)=x-[x], where [x] is the greatest integer less than or equal to x, then f(+1/2) is:

If f(x)=e^([cotx]) , where [y] represents the greatest integer less than or equal to y then

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

If f(x) = {{:((sin[x])/([x]),[x] != 0),(0,[x] = 0):} , where [x] denotes the greatest integer less than or equal to x, then lim_(x to 0) equals

If f(x)={("sin"[x])/([x]) ,for [x]!=0, 0 ,for[x]=0,where [x] denotes the greatest integer less than or equal to x , then lim_(x→0)f(x) is (a) 1 (b) 0 (c) -1 (d) none of these

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

If f(x)=cos{(pi)/(2)[x]-x^(3)},1 lt x lt 2and[x]= the greatest integer lex , then find f'(root(3)((pi)/(2)))

If [x] dnote the greatest integer less than or equal to x then the equation sin x=[1+sin x ]+[1-cos x ][ has no solution in

f(x)= 1/sqrt([x]-x) , where [*] denotes the greatest integeral function less than or equals to x. Then, find the domain of f(x).

Let f(x) = [x] , then f(-(3)/(2)) is equal to :

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. If f(x) is given by f(x)=(cosx+i sinx)(cos3x+isin3x)......[cos(2n-1)...

    Text Solution

    |

  2. Let f(x)=x^(n) , n being a non-negative integer, The value of n for w...

    Text Solution

    |

  3. If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the grea...

    Text Solution

    |

  4. The functions u=e^(x).sinx and v=e^(x).cosx satisfy the equation

    Text Solution

    |

  5. If f(x)=log(x^(2))(logx),then f '(x)at x= e is

    Text Solution

    |

  6. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

    Text Solution

    |

  7. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  8. "If "y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo))))," then prove that "(dy)/(...

    Text Solution

    |

  9. If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

    Text Solution

    |

  10. Let f(x)=x^2+xg'(1)+g''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then find ...

    Text Solution

    |

  11. if f(x) = x^n then the value of f(1) - (f'(1))/(1!) + (f''(1))/(2!) +...

    Text Solution

    |

  12. If y+log(1+x)=0 which of the following is true?

    Text Solution

    |

  13. If y=2^(3^(x)), then y' equals

    Text Solution

    |

  14. If g is the inverse of fandf(x) = x^(2)+3x-3,(xgt0). then g'(1) equal...

    Text Solution

    |

  15. If x^(3)-2x^(2)y^(2)+5x+y-5=0 and y(1) = 1, then a. y'(1)=(4)/(3) b. y...

    Text Solution

    |

  16. Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to

    Text Solution

    |

  17. Ify=x^((lnx)^ln(lnx)) , then (dy)/(dx) is equal to

    Text Solution

    |

  18. Which of the following functions are not derivable at x=0?

    Text Solution

    |

  19. If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to

    Text Solution

    |

  20. For the function y=f(x)=(x^(2)+bx+c)e^(x), which of the following hold...

    Text Solution

    |