Home
Class 12
MATHS
If f(x) = x-sqrt x is increasing in the ...

If f(x) = x-`sqrt x` is increasing in the interval..

A

(- `infty` , ¼)

B

(1/4 , `infty`)

C

(0,1/4)

D

R*

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Applications of Derivatives

    CHETANA PUBLICATION|Exercise Exercise|144 Videos

  • APPLICATION OF DEFINITE INTEGRATION

    CHETANA PUBLICATION|Exercise EXERCISE|80 Videos

  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

The function f(x) = x^2 is increasing in the interval: a)(-1,1) b) (-infty,infty) c) (0,infty) d) (-infty,0)

the function f(x)=logx/x is increasing in the interval

The function f(x)=2x^3+9x^2+12x+20 is increasing in the interval

The function f(x)= x^2+2x+5 is strictly increasing in the interval: a) (-1,infty) b) (-infty,-1) c) [-1,infty) d) (-infty,-1]

The function (x-2)/(x+1),(xne0) is increasing on the interval

The function f(x)= x +1/x (x != 0) is a non-increasing function in the interval

Let f(x) = log (sin x+ cos x) , x in (-pi/4,(3pi)/(4)) Then f is stricly increasing in the interval

The function f(x)= [x(x-2)]^2 is increasing in the set

Show that f (x) = x-cos x is increasing for all x.

The function f(x)=x^3-3x^2-24x+5 is an increasing function in the interval a) (-infty,-2) cup (4,infty) b) (-2,infty) c) (-2,4) d) (-infty,4)

CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. If the function f(x) =log x, x in (1, e), satisfies all the conditions...

    Text Solution

    |

  2. The values of x for which f(x)= 2x^3-15x^2+ 36x+5 is decreasing, are.....

    Text Solution

    |

  3. If f(x) = x-sqrt x is increasing in the interval..

    Text Solution

    |

  4. The function f(x) = x- cosx, is increasing in....... A) (pi/2, pi) B)...

    Text Solution

    |

  5. The function f(x) =x^3-3x^2+3x-100, x in R is....... A) increasing B)...

    Text Solution

    |

  6. At x=-1, the function f(x) = 2x^3-3x^2-12x+12 is...... A) maximum B) m...

    Text Solution

    |

  7. Function f(x) = x^2-3x+4 has minimum value at..... A) x= 0 B) x= -3/...

    Text Solution

    |

  8. If the sum of the two numbers is 15 and the sum of their squares is mi...

    Text Solution

    |

  9. Two numbers x and y such that x + y=2 and x^3y is maximum, are...... A...

    Text Solution

    |

  10. A closed right circular cylinder of given total surface area, has maxi...

    Text Solution

    |

  11. The function f(x) = x^x is minimum at x=...... A) e B) -e C) 1/e D)...

    Text Solution

    |

  12. The equation of tangent to the curve y=x^2 +4x+ 1 at (-1, 1) is...... ...

    Text Solution

    |

  13. Function f(x) = 2x^3-3x^2-12x +2 has minimum at the point…………

    Text Solution

    |

  14. Find the approximate value of (4.01)^3

    Text Solution

    |

  15. Show that the function f(x)= x^3+10x +7 is increasing for all x in R.

    Text Solution

    |

  16. A particle moves according to the law s=t^3-6t^2+9t+ 15. Find the velo...

    Text Solution

    |

  17. Divide the number 20 into two parts such that their product is maximum...

    Text Solution

    |

  18. Find the equation of tangent to the curve at point sqrt x-sqrt y =1 at...

    Text Solution

    |

  19. The length x of a rectangle is increasing at the rate of 3 m/sec and t...

    Text Solution

    |

  20. Find the value of x such that f(x)=x^4-2x^3+1 is decreasing function.

    Text Solution

    |