Home
Class 12
MATHS
The function f(x)=x^(3) +3x^(2) +4x+7 is...

The function `f(x)=x^(3) +3x^(2) +4x+7` is increasing for-

A

all real values of x

B

`x lt 0`

C

`x gt 0`

D

`x=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 5|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 2|30 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

Prove that the function f(x)=x^(3)-6x^(2)+12 x-18 is increasing for all x in RR .

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

The function f(x)= 2x^(3) - 3x^(2) - 12x +4 has-

Prove that the function f(x)=x^(3)-x^(2) is neither increasing nor decreasing in -2/3 lt x lt 2/3 .

Find the intervals in which the function f(x)=(4x^(2)+1)/x is increasing

Find the intervals in which the function f(x)=(x+1)^(3)(x-3)^(3) is increasing

Statement 1: The function f(x)=x^4-8x^3+22 x^2-24 x+21 is decreasing for every x in (-oo,1)uu(2,3) Statement 2: f(x) is increasing for x in (1,2)uu(3,oo) and has no point of inflection.

Find the intervals in which the function f given by f(x) = 2x^(3) – 3x^(2) – 36x + 7 is (a) increasing (b) decreasing

Prove that the function given by f(x) = x^(3) – 3x^(2) + 3x – 100 is increasing in R.

Find the interval of the function f(x) = x^3 in which it is increasing

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 3
  1. The equation of the normal to the ellipse (x^(2))/(a^(2)) + (y^(2))/(b...

    Text Solution

    |

  2. The point on the curve sqrt(x) + sqrt(y) = sqrt(a), the normal at whic...

    Text Solution

    |

  3. The slope of the tangent to the curve x= 3t^(2) +1, y=t^(3)-1 at x=1...

    Text Solution

    |

  4. If the area above the x-axis bounded by the curve y=2^(kx) and the lin...

    Text Solution

    |

  5. If the line x+y =1 is a tangent to the parabola y^(2)-y +x=0, then th...

    Text Solution

    |

  6. The angle between the curves y= sin x and y= cos x is-

    Text Solution

    |

  7. The function f(x)=cos x - 2ax is monotonically decreasing when-

    Text Solution

    |

  8. If PQ and PR are the two sides of a triangle, then the angle between ...

    Text Solution

    |

  9. The function f(x)=x^(3) +3x^(2) +4x+7 is increasing for-

    Text Solution

    |

  10. If x+y=60, x, y gt 0, then the maximum value of xy^(3) is-

    Text Solution

    |

  11. The points of extrema of f(x)= int(0)^(x) (sin t)/(t)dt in the domain ...

    Text Solution

    |

  12. If the function f(x)= 2x^(3)-9ax^(2) +12a^(2)x +1, where a gt 0 attai...

    Text Solution

    |

  13. A land in the form of a circular sector has been fenced by wire of 40 ...

    Text Solution

    |

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

    Text Solution

    |

  15. The function f(x)= (lamda sin x + 6 cos x )/(2 sin x + 3 cos x) is ...

    Text Solution

    |

  16. The surface area of a spherical bubble is increasing at the rate of ...

    Text Solution

    |

  17. A point on the parabola y^(2)=18x at which the ordinate increases at t...

    Text Solution

    |

  18. A function y=f(x) has a second order derivative f''(x)=6(x-1). If its ...

    Text Solution

    |

  19. Maximize : Z=5y+2x subject to constraints- x+2y le 4, 7x + 8y ge 56...

    Text Solution

    |

  20. An open box with a square base is made out of a given iron sheet of ar...

    Text Solution

    |