Home
Class 11
MATHS
At x=0, f(x)=sinx-x+(x^(3))/(6)-(x^(4))/...

At x=0, `f(x)=sinx-x+(x^(3))/(6)-(x^(4))/(24)`

A

Has a minimum

B

Has a maximum

C

Does not have an extremum

D

Is not defined

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|16 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS |2 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (INTEGER TYPE QUESTIONS)|3 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

Find Lt_(xto0)((sinx-x+x^(3)/6)/x^(5))

At x=0,f(x)=(3-x)e^(2x)-4xe^(x)-x

f(x) = (3 sin x - sin (3x))/(x^(3)) , x ne 0 , f(0) = 4 at x = 0 , f is

f(x)=(2^(|x|))/(sinx) is

f(x) = (1 - cos (4x))/(x^(2)) , x in 0, f (0) = 8 , at x =0 f is

A function f is defined by f(x)= {{:((sin (a + 1) x + sinx)/(x)" if " x lt 0),(c " if " x = 0),(((x + bx^(2))^(1/2)- x^(1/2))/(bx^(3/2)) " if " x gt 0 ):} It f(x) is continuous at x = 0 , find the values of a,b and c .

Let f(x)=x^(4)-4x^(3)+6x^(2)-4x+1 Then ,

Choose the correct answer If d/(dx)f(x)=4x^(3)-3/(x^(4)) such that f (2) = 0. Then f (x) is

The function f(x)=(3sin x-sin 3x)/(x^(3))" for "x ne 0, f(0) =1 at x=0 is

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -I) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The maximum value of f(x)=100-|45-x| is

    Text Solution

    |

  2. For a paricle moving on a straight line it is observed that the distan...

    Text Solution

    |

  3. At x=0, f(x)=sinx-x+(x^(3))/(6)-(x^(4))/(24)

    Text Solution

    |

  4. The minimum value of sqrt((e^x"^2)-1) is

    Text Solution

    |

  5. If f(x) = a log |x| + bx^(2) + x has extreme values at x = -1 and x = ...

    Text Solution

    |

  6. f(x)=x^(3)-3x^(2)+6x+7 has

    Text Solution

    |

  7. If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is

    Text Solution

    |

  8. The value of a for which the sum of the squares of the roots ...

    Text Solution

    |

  9. Greatest value of ((1)/(x))^(x) is

    Text Solution

    |

  10. If 2lexle4 then the max value of f(x)=(x-2)^(6)(4-x)^(5) is

    Text Solution

    |

  11. The function f(x)=4x^5-25x^4+40x^3-10 has

    Text Solution

    |

  12. If xy(x-y)=2a^3(agt0) then y has minimum when x =

    Text Solution

    |

  13. Let f(x)=(x-3)^(5)(x+1)^(4) then

    Text Solution

    |

  14. Then function f(x)=int(-2)^(x)t(e^(t)-1)(t-2)^(3)(t-3)^(5)dt has a loc...

    Text Solution

    |

  15. f(x)=(x-2)^(2)x^(n), n inN then f(x) has

    Text Solution

    |

  16. If the function f(x)=x^(3)+3(a-7)x^(2)+3(a^(2)-9)x-1 has a positive p...

    Text Solution

    |

  17. Given : f(x)=x^((1)/(x)),(xgt0) has the maximum value at x=e , then

    Text Solution

    |

  18. Let f(x)=(x-2)(x^(4)-4x^(3)+6x^(2)-4x+1) then value of local minimum ...

    Text Solution

    |

  19. Let f be continuous and differentiable function such that f(x) and f(x...

    Text Solution

    |

  20. Consider the polynomial f(x)=1+2x+3x^(2)+4x^(3) . Let s be the sum of ...

    Text Solution

    |