Home
Class 12
MATHS
At x=(5pi)/6,\ \ f(x)=2sin3x+3cos3x is (...

At `x=(5pi)/6,\ \ f(x)=2sin3x+3cos3x` is (a) 0 (b) maximum (c) minimum (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RD SHARMA ENGLISH|Exercise All Questions|144 Videos

  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA ENGLISH|Exercise All Questions|125 Videos

Similar Questions

Explore conceptually related problems

If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)=-(3pi^2)/4, then lim_(x->-pi)(f(x))/("sin"(sinx) is equal to (a) 0 (b) pi (c) 2pi (d) none of these

Let f(x)=x^3+3x^2-9x+2 . Then, f(x) has a maximum at x=1 (b) a minimum at x=1 (c) neither a maximum nor a minimum at x=-3 (d) none of these

The minimum value of f(x)=x^4-x^2-2x+6 is (a) 6 (b) 4 (c) 8 (d) none of these

At x = (5 pi)/( 6) , the function f (x) = 2 sin 3 x + 3 cos 3 x is

The value of c in Lagranges theorem for the function f(x)=logsinx in the interval [pi/6,(5pi)/6] is (a) pi/4 (b) pi/2 (c) (2pi)/3 (d) none of these

int_-(pi/3)^(pi/3) (x^3cosx)/sin^2xdx= (A) 0 (B) 1 (C) -1 (D) none of these

The function f(x)=-x//2+sinx defined on [-pi//3,\ pi//3] is (a) increasing (b) decreasing (c) constant (d) none of these

sqrt(3)int_0^pi dx/(1+2sin^2x)= (A) -pi (B) 0 (C) pi (D) none of these

The solution of the equation sin^3x+sinxcosx+cos^3x=1 is (n∈N) (a) 2npi (b) (4n+1)pi/2 (c) (2n+1)pi (d) None of these

Let f(x) be a function defined as follows: f(x)=sin(x^2-3x),xlt=0; and 6x+5x^2,x >0 Then at x=0,f(x) (a) has a local maximum (b) has a local minimum (c) is discontinuous (d) none of these

RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. The sum of two non-zero numbers is 8, the minimum value of the sum ...

    Text Solution

    |

  2. The function f(x)=sum(r=1)^5(x-r)^2 assuming minimum value at x= ...

    Text Solution

    |

  3. At x=(5pi)/6,\ \ f(x)=2sin3x+3cos3x is (a) 0 (b) maximum (c) minimum (...

    Text Solution

    |

  4. If x lies in the interval [0,\ 1] , then the least value of x^2+x+1...

    Text Solution

    |

  5. The least value of the function f(x)=x^3-18 x^2+96 x in the interval [...

    Text Solution

    |

  6. The maximum value of f(x)=x/(4+x+x^2) on [-1,1] is (a)1/4 (b) -1/3 (c)...

    Text Solution

    |

  7. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

  8. If x+y=8 , then the maximum value of x y is (a) 8 (b) 16 (c) 20 (d)...

    Text Solution

    |

  9. The least and greatest values of f(x)=x^3-6x^2+9x in [0,\ 6] , are ...

    Text Solution

    |

  10. f(x)=sin+sqrt(3)cosx is maximum when x= pi/3 (b) pi/4 (c) pi/6 (d) 0

    Text Solution

    |

  11. If a cone of maximum volume is inscribed in a given sphere, then th...

    Text Solution

    |

  12. The minimum value of (x^2+(250)/x) is (a) 75 (b) 50 (c) 25 (d) 55

    Text Solution

    |

  13. If f(x)=x+1/x ,\ \ x >0 , then its greatest value is -2 (b) 0 (c) 3...

    Text Solution

    |

  14. If f(x)=1/(4x^2+2x+1) , then its maximum value is 4/3 (b) 2/3 (c) 1...

    Text Solution

    |

  15. Let x ,\ y be two variables and x >0,\ \ x y=1 , then minimum value of...

    Text Solution

    |

  16. f(x)=1+2sinx+3cos^2x ,\ 0lt=xlt=(2pi)/3 is (a)Minimum at x=pi//2 (b) M...

    Text Solution

    |

  17. The function f(x)=2x^3-15 x^2+36 x+4 is maximum at x= (a) 3 (b) 0 (c)...

    Text Solution

    |

  18. The maximum value of f(x)=x/(4-x+x^2) on [-1,1] is (a)1/4 (b) -1/3 (c)...

    Text Solution

    |

  19. Let f(x)=2x^3-3x^2-12 x+5 on [-2,\ 4] . The relative maximum occurs...

    Text Solution

    |

  20. The minimum value of x\ (log)e x is equal to e (b) 1//e (c) -1//e (d) ...

    Text Solution

    |