Home
Class 12
MATHS
For all real values of x, increasing fun...

For all real values of x, increasing function f(x) is

A

`x^-1`

B

`x^2`

C

`x^3`

D

`x^4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=x^(3)-3x^(2)+3x-100 ,for all real values of x is O increasing O decreasing O increasing & decreasing O Neither increasing nor decreasing

If all the real values of m for which the function f(x)=(x^(3))/(3)-(m-3)(x^(2))/(2)+mx-2013 is strictly increasing in x in[0,oo) is [0, k] ,then the value of k is,

A function f is such that f(x+1)=f(x)+f(1)+1 for all real values of x . Find f(0) If it is given that f(1)=1, find f(2),f(3) and f(-1) .

If f(x) is a function f:R rarr R, we say f(x) has property I.If f(f(x))=x for all real numbers x.II.f(-f(x))=-x for all real numbers x.How many linear functions,have both property I and Il?

Let f:R rarr R be a differentiable function for all values of x and has the property that f(x) andf '(x) has opposite signs for all value of x. Then,(a) f(x) is an increasing function (b) f(x) is an decreasing function (c)f^(2)(x) is an decreasing function (d)|f(x)| is an increasing function

For what values of a, the function f(x)={((sqrt(a+4))/(1-a))x^(5)-3x+log(5) decreases for all real x.

The set of all values of a for which the function f(x)=((a^2-1)/3)x^3+(a-1)x^2+2x+1 increases on R, is

Let f (x), g(x) be two real valued functions then the function h(x) =2 max {f(x)-g(x), 0} is equal to :

Let f be a differentiable real function defined on (a;b) and if f'(x)>0 for all x in(a;b) then f is increasing on (a;b) and if f'(x)<0 for all x in(a;b) then f(x) is decreasing on (a;b)

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. The abscisssa of the points of the curve y=x^3 in the interval [-2,2],...

    Text Solution

    |

  2. If the function f(x) = x^(3) – 6ax^(2) + 5x satisfies the conditions o...

    Text Solution

    |

  3. For all real values of x, increasing function f(x) is

    Text Solution

    |

  4. The function f(x)=ax+b is strictly increasing for all real x is

    Text Solution

    |

  5. For Which value of x, the function f(x)=x^2-2x is decresing?

    Text Solution

    |

  6. The function f(x)= tan x - x

    Text Solution

    |

  7. f(x)={(0,x≤0),(x-3,xgt0):} The function f(x) is

    Text Solution

    |

  8. The function f(x)=cos x -2 px is monotonically decreasing for

    Text Solution

    |

  9. Function f(x)=2x^3-9x^2+12 x+29 is monotonically decreasing when (a) x...

    Text Solution

    |

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

    Text Solution

    |

  11. The function f(x)=x^3-3x^2-24x+5 is an increasing function in the inte...

    Text Solution

    |

  12. For which interval the given function f(x)=2x^3-9x^2+12x+1 is decreasi...

    Text Solution

    |

  13. Where does f(x)=x+sqrt(1-x),0ltxlt1 decrease?

    Text Solution

    |

  14. The function f(x)=sin^4x +cos ^4 x increases if

    Text Solution

    |

  15. The values of a for which the function (a+2)x^3 - 3x^2 + 9ax-1 decreas...

    Text Solution

    |

  16. If f(x)=(x)/(x^(2)+1) is increasing function, then the value of x lies...

    Text Solution

    |

  17. The function f(x)=log(1+x)(2x)/(2+x) is increasing on

    Text Solution

    |

  18. The function f defined by f(x)=(x+2)e^(-x) is

    Text Solution

    |

  19. A function is matched below against an interval where it is supposed t...

    Text Solution

    |

  20. The function f(x)=(ln(pi+x))/(ln(e+x)) is increasing in (0,oo) decrea...

    Text Solution

    |