Home
Class 12
MATHS
An extremum value of the function f(x)=(...

An extremum value of the function `f(x)=(a r csinx)^3+(a r ccosx)^3` is `(7pi^3)/8` (b) `(pi^3)/8` (c) `(pi^3)/(32)` (d) `(pi^3)/(16)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

  • THREE DIMENSIONAL GEOMETRY

    RESONANCE DPP ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are (a) (-pi)/2,pi/2 (b) (-pi^3)/8,(pi^3)/8 (c) (pi^3)/(32),(7pi^3)/8 (d) none of these

The value of a for which the function f(x)=asinx+(1/3)sin3x has an extremum at x=pi/3 is (a) 1 (b) -1 (c) 0 (d) 2

The area in the first quadrant between x^2+y^2=pi^2 and y=sinx is (a) ((pi^(3)-8))/(4) (b) (pi^(3))/(4) (c) ((pi^(3)-16))/(4) (d) ((pi^(3)-8))/(2)

The minimum value of the function f(x)=x^(10)+x^2+1/(x^(12))+1/((1+sec^(-1)x) is (1) (pi+4)/(pi+1) (2) (3pi+4)/(pi+1) (3) (pi+4)/(3pi+1) (4) 3

The value of sin^(-1)(cos((33pi)/5)) is (a) (3pi)/5 (b) -pi/(10) (c) pi/(10) (d) (7pi)/5

Show that function f(x)=sin(2x+pi/4) is decreasing on ((3pi)/8,(5pi)/8)dot

The length of the longest interval in which the function 3sinx-4sin^3x is increasing is pi/3 (b) pi/2 (c) (3pi)/2 (d) pi

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

cos^(-1)(cos((7pi)/6)) is equal to (A) (7pi)/6 (B) (5pi)/6 (C) pi/3 (D) pi/6

For f(x)=sin^2x ,x in (0,pi) point of inflection is: pi/6 (b) (2pi)/4 (c) (3pi)/4 (d) (4pi)/3

RESONANCE DPP ENGLISH-RELATIONS AND FUNCTIONS XII-All Questions
  1. Find the number of positive integers x for which f(x) = x^(3) - 8 x^...

    Text Solution

    |

  2. The least integral value of ' m ' for which the expression m x^2-4x+3m...

    Text Solution

    |

  3. Values of x satisfying the inequality |x^2+8x+7|geq|x^2+4x+4|+|4x+3| f...

    Text Solution

    |

  4. Let N=(log(3)135)/(log(15)3)-(log(3)5)/(log(405)3). Then N is

    Text Solution

    |

  5. f(x)=x/(x-1) then (f(a))/(f(a+1)) is equal to a.f(-a) b.f(1//a) c...

    Text Solution

    |

  6. Suppose f is a real function satisfying f(x+f(x))=4f(x)a n df(1)=4. Th...

    Text Solution

    |

  7. If f(x)=2/(4^x+2) for real numbers x , then f(1/(2011))+f(2/(2011))++f...

    Text Solution

    |

  8. A polynomial P(x) of third degree vanish when x=1 & x=-2 . This ...

    Text Solution

    |

  9. Solve the following inequalities (x-1)/x-(x+1)/(x-1)<2

    Text Solution

    |

  10. Solve inequality (x^2-5x+6)/(x^2+x+1)<0

    Text Solution

    |

  11. solve the given inequation (x^2+4x+4)/(2x^2-x-1)>0

    Text Solution

    |

  12. ((x-4)^(2005)dot(x+8)^(2008)(x+1))/(x^(2006)(x-2)^3dot(x+3)^5 0(x-6)(x...

    Text Solution

    |

  13. Solve the following inequalities ((x-1)(x-2)(x-3))/((x+1)(x+2)(x+3))>...

    Text Solution

    |

  14. The sum of the series ""(1^2)/(2!)+(2^2)/(3!)+(3^2)/(4!)+"i s" e+1 ...

    Text Solution

    |

  15. The function f(x)=(4-x^2)/(4x-x^3) (a) discontinuous at only one poin...

    Text Solution

    |

  16. If A is the set of even natural numbers less than 8 and B in the set p...

    Text Solution

    |

  17. If range of the function f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1) is [p ...

    Text Solution

    |

  18. In function f(x)=cos^(-1)x+cos^(-1)(x/2+(sqrt(3-3x^2))/2) , then Range...

    Text Solution

    |

  19. An extremum value of the function f(x)=(a r csinx)^3+(a r ccosx)^3 is ...

    Text Solution

    |

  20. If x , y , z are all different real numbers, then 1/((x-y)^2)+1/((y-z)...

    Text Solution

    |