Home
Class 12
MATHS
The function f(x)=-2x^(3)+21x^(2)-60x+41...

The function `f(x)=-2x^(3)+21x^(2)-60x+41`,in the interval `(-oo,1)`,

A

f(x) is decreasing in `(-oo,1)`

B

f(x) is decreasing in `(-oo,2)`

C

f(x) is increasing in `(-oo,1)`

D

f(x) is increasing in `(-oo,2)`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    BITSAT GUIDE|Exercise BITSAT Archives|19 Videos

  • SOLVED PAPER 2019 BITSAT

    BITSAT GUIDE|Exercise PART -IV ( Mathematics ) |45 Videos

Similar Questions

Explore conceptually related problems

Verify the truth of Rolle's Theorem for the following functions : f(x)=x^(3)-2x^(2)-3x in the interval [-1, 3].

At what values of a do all the zeroes of the function f(x)=(a-2)x^(2)+2ax+a+3 lies on the interval (-2,1)

Verify Rolle's theorem for the function f(x)=x^(3)-3x^(2)+2x in the interval [0,2] .

The function f(x)=2x^(3)-15x^(2)+36x+1 is increasing in the interval

The function f(x)=x^(2)+2x-5 is increasing in the interval

The greatest value of the function f(x)=2.3^(3x)-3^(2x).4+2.3^(x) in the interval [-1,1] is

The function f(x) = 2x^(3) + 3x^(2) -12 x + 1 decreases in the interval

the value of the function f(x)=(x^(2)-3x+2)/(x^(2)+x-6) lies in the interval.

The function f(x)=(1)/(1+x^(2)) is decreasing in the interval (i)(-oo,-1)(ii)(-oo,0)(iii)(1,oo)(iv)(0,oo)

Show that (a) the function f(x)=x^(3)+3x+5 increase in the entire domain of the definition, (b) the function g(x)=(x)/((1+x)^(2)) decrease in the interval (1,oo)

BITSAT GUIDE-SOLVED PAPER 2017 -PART (IV) Mathematics)
  1. The value of f(0) so that the function f(x) = (2x - sin^(-...

    Text Solution

    |

  2. Consider the greatest integer function, defined by f(x) =[x],0 le x lt...

    Text Solution

    |

  3. The function f(x)=-2x^(3)+21x^(2)-60x+41,in the interval (-oo,1),

    Text Solution

    |

  4. Rolle's theorem is not applicable to the function f(x) =|x| defined o...

    Text Solution

    |

  5. If the two curves y = a^x and y =b^x intersect at an angle alpha, then...

    Text Solution

    |

  6. Evaluate (int(0)^(n)[x]dx)/(int(0)^(n){x}dx) (where [x] and {x} are in...

    Text Solution

    |

  7. The maximum value of f(x)=x+sin2x,x in[0,2pi] is

    Text Solution

    |

  8. The area bounded by the curve y =|cos x-sinx|, 0<=x<=pi/2 and above...

    Text Solution

    |

  9. The solution of dy//dx=cos(x+y)+sin(x+y), is given by

    Text Solution

    |

  10. The area enclosed between the curves y = x^(3) and y = sqrt(x) is

    Text Solution

    |

  11. ("lim")(xvecoo)(a n-(1+n^2)/(1+n))=b , where a is a finite number, the...

    Text Solution

    |

  12. If the papers of 4 students can be checked by any one of the 7 teac...

    Text Solution

    |

  13. if the equation (10x-5)^2+(10y-4)^2 = lambda^2 (3x+4y-1)^2 represents ...

    Text Solution

    |

  14. Let hataandhatb be two non -collinear unit vectors .If u=hata-(hata*ha...

    Text Solution

    |

  15. If the variance of the observations x(1),x(2),……,x(n) is sigma^(2), th...

    Text Solution

    |

  16. Coefficients of variation of two distributions are 50 and 60, and thei...

    Text Solution

    |

  17. The maximum vlaue of Z = 9x+13y subject to constraints 2x+3yle 18, ...

    Text Solution

    |

  18. A coin is tossed 7 times.Each time a man calls head.The probability th...

    Text Solution

    |

  19. If sin^-1x+sin^-1y+sin^-1z=(3pi)/2 and f(1)=2. f(p+q)=f(p). f(q)AAp,q...

    Text Solution

    |

  20. The value of (2)/(1!) + (2+4)/(2!) + (2+4+6)/(3!) + … is

    Text Solution

    |