Home
Class 12
MATHS
The value of a for which the functionf(x...

The value of a for which the function`f(x)=asinx+1/3sin3x` has an extremum at `x=pi/3` is

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=sinxcos^(2)x has extremum at -

The value of n in 1 , for which the function f(x)=(sin nx)/(sin frac xn) has 4pi as its period is equal to

The value of n in ZZ for which the function f(x)=( sin n pi)/( sin((x)/(n)) has 4pi as its period is K, find the value of K.

The maximum value of the function f(x)=3 cos x - 4 sin x is-

Show that the function sin^(3)x cosx has a maximum value at x=(pi)/(3) .

The function f(x)=4x-x^(2)-3 has a maximum value at-

At x=0 the function f(x)=x^3+1 has -

Find the range of the function f(x)=(1)/(2+sin3x)

If a differentiable function f(x) attains a local extremum at x=a , then -

Domain of the function f(x)= sin^(- 1)(1+3x+2x^2)

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Suppose that f is a polynomial of degree 3 and that f^(x)!=0 at any...

    Text Solution

    |

  2. The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in ...

    Text Solution

    |

  3. The value of a for which the functionf(x)=asinx+1/3sin3x has an extrem...

    Text Solution

    |

  4. If f(x)=(t+3x-x^2)/(x-4), where t is a parameter that has minimum and ...

    Text Solution

    |

  5. A factory D is to be connected by a road with a straight railway line ...

    Text Solution

    |

  6. Let f(x)=ax^3+bx^2+cx+1 has exterma at x=alpha,beta such that alpha ...

    Text Solution

    |

  7. Consider the function f(x)=xcosx-sinxdot Then identify the statement w...

    Text Solution

    |

  8. The number of values of k for which the equation x^3-3x+k=0 has two di...

    Text Solution

    |

  9. The least natural number a for which x+a x^(-2)>2AAx in (0,oo) is 1 (b...

    Text Solution

    |

  10. A function f is defined by f(x)=|x|^m|x-1|^nAAx in Rdot The local max...

    Text Solution

    |

  11. A rectangle of the greatest area is inscribed in a trapezium A B C D ,...

    Text Solution

    |

  12. f(x)={4x-x^3+ln(a^2-3a+3),0lt=x<3 x-18 ,xgeq3 complete set of values...

    Text Solution

    |

  13. Let the function f(x) be defined as follows:(x)= {x^3 +x^2 −10x,−1≤x<...

    Text Solution

    |

  14. A differentiable function f(x) has a relative minimum at x=0. Then the...

    Text Solution

    |

  15. If f(x)=4x^3-x^2-2x+1 and g(x)={min f(t): 0<=t<=x; 0<=x<=1, 3-x : 1...

    Text Solution

    |

  16. The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^...

    Text Solution

    |

  17. The number of values of x where the function f(x)=cosx+cos(sqrt2x) att...

    Text Solution

    |

  18. For a cubic function y=f(x),f''(x)=4x at each point (x , y) on it and ...

    Text Solution

    |

  19. If m is the minimum value of f(x , y)=x^2-4x+y^2+6y when x and y are s...

    Text Solution

    |

  20. f(x) is polynomial function of degree 6, which satisfies ("lim")(xvec...

    Text Solution

    |