Home
Class 12
MATHS
The interval in which 2x^3+5 increases ...

The interval in which `2x^3+5` increases less rapidly than `9x^2-12x,` is

A

a)`(-oo,1)`

B

b)(1,2)

C

c)`(2,oo)`

D

d)none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

The interval in which y = x^(2) e^(–x) is increasing is

The interval in which (x^2-2x-3)/(x^2-2x) is negative,

Find the interval in which f(x)=2x^3+3x^2-12x+1 is increasing.

Find the interval in which f(x)= 4x^3+3x^2+2x+1 is increasing.

Find the intervals in which f(x)=(x+2) e^(-x) is increasing

Find the intervals in which f(x)=x^2+2x-5 is increasing or decreasing.

Find the intervals in which the function f(x)=3/x+x/3 is increasing

Find the intervals in which the functions are strictly increasing or decreasing: -2x^(3)-9x^(2) -12x+1

Find the interval in which f(x)=x^3-3x^2-9x+30 is strictly increasing or strictly decreasing.

Find the intervals in which the functions are strictly increasing or decreasing: 6-9x-x^(2)

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. If f(x)=x.e^(x(1-x)), then f(x) is

    Text Solution

    |

  2. If 2f(x) + 3f(-x) = 15 - 4x for all real values of x , then show that ...

    Text Solution

    |

  3. The interval in which 2x^3+5 increases less rapidly than 9x^2-12x, is

    Text Solution

    |

  4. Let the function g,(-oo,oo)rarr(-pi/2,pi/2) be given by g(u)=2tan^(-1)...

    Text Solution

    |

  5. For the function f(x)=2x^2-In|x|

    Text Solution

    |

  6. If Y=((ax-b))/((x-4)(x-1)) has extreme value at (2,-1) then the value...

    Text Solution

    |

  7. The number of critical points of the function f(x)=|x|e^(-x) must be

    Text Solution

    |

  8. The minimum value of the function f(x)=2|x-2|+5|x-3| for all "x"inR is

    Text Solution

    |

  9. The coordinates of the point on the parabola y^2=8x which is at a mini...

    Text Solution

    |

  10. If f(x)=|x|+|x-1|+|x-2|, then

    Text Solution

    |

  11. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

    Text Solution

    |

  12. Let f(x)={(2-|x^2+5x+6|,x!=-2),(a^2+1,x=-2):} then value of 'a' so tha...

    Text Solution

    |

  13. Let f(x)={(|x^2-2|,-1lexltsqrt3),(x/sqrt3,sqrt3lexlt2sqrt3),(3-x,2sqrt...

    Text Solution

    |

  14. The minimum value of atan^2x+bcot^2x equals the maximum value of asin^...

    Text Solution

    |

  15. All the possible values of the paramter 'a' so that the function ,f(x)...

    Text Solution

    |

  16. The equation of the tangent to the curve y={(x^2sin"1/x,xne0),(0,x=0):...

    Text Solution

    |

  17. The equation of the normal to the curve y=e^(-2|x| at the point where ...

    Text Solution

    |

  18. If the tangent to the curve 2y^3=ax^2+x^3 at the point (a,a) cuts off ...

    Text Solution

    |

  19. At the point P(a,a^n) on the graph of y=x^n(ninN) in the first quadran...

    Text Solution

    |

  20. The point (s) on the curve y^3+3x^2=12y where line tangent is vertical...

    Text Solution

    |