Home
Class 12
MATHS
If f(x ) = x "for" x le 0 =0 "fo...

If `f(x ) = x "for" x le 0`
`=0 "for " x gt 0` then f(x) at x=0 is

A

decreases on `(0, oo)`

B

increases on `(0, oo)`

C

decreases on `(1,oo)`

D

neither increases nor decreases on `(0, oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|38 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( CONCEPT - BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|10 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x for x le 0=0 for x t 0 , the f(x) at x=0 is

If f(x) = {{:(0, "for" x=0),(x-3, "for" x gt0):} then function f(x) is

If f(x) = 0 for x lt 0 and f(x) is differentiable at x = 0, then for x gt 0, f(x) may be

If f''(x) le0 "for all" x in (a,b) then f'(x)=0

let f(x) = {:{( x^(2) , x le 0) , ( ax , x gt 0):} then f (x) is derivable at x = 0 if

If {(f(x) = 1-x), (for 0 lt x le 1),(= k , for x = 0)} is continuous at x = 0, then k =

A function is defined as f(x) = {{:(e^(x)",",x le 0),(|x-1|",",x gt 0):} , then f(x) is

If f(x) = {{:(|x|",", "for",,0 lt |x| le 2), (1",", "for,, x =0):} . Then, at x = 0, f has

Let f(x) = {{:(x + 1 , :, x £ 0) , (x , : , x gt 0):} and h (x) = |f(x) + f(|x|) . Then h(x) is defined by :

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. The shortest distance of (0,0) from the curve y=(e^x+e^(-x))/2 is

    Text Solution

    |

  2. The normal to the circle x^(2) + y^(2) -2x -2y = 0 passing through (2,...

    Text Solution

    |

  3. If f(x ) = x "for" x le 0 =0 "for " x gt 0 then f(x) at x=...

    Text Solution

    |

  4. The value of k so that the equation x^3-12x+k=0 has distinct roots in ...

    Text Solution

    |

  5. Let f(x) = 6x^(4//3) - 3x^(1//3) defined on [-1,1] then

    Text Solution

    |

  6. An equation of tangent line at an inflection point of f(x) = x^(4) - 6...

    Text Solution

    |

  7. The number of real roots of the equation 2x^(3) -3x^(2) + 6x + 6 = 0 i...

    Text Solution

    |

  8. Let f(x) =(x -2) (x^(4) -4x^(3) + 6x^(2) - 4x +1) then value of local ...

    Text Solution

    |

  9. Let f(x) = x^(2) -2|x| + 2, x in [-1//2, 3//2] then

    Text Solution

    |

  10. The function f(x)=|x-1|/x^2 is

    Text Solution

    |

  11. The function f(x)=x^x decreases on the interval (a) (0,\ e) (b) (0,\ ...

    Text Solution

    |

  12. The interval of increase of the function f(x)=x-e^x+tan(2pi//7) is (a)...

    Text Solution

    |

  13. Let f(x) = x^(2) + px +q. The value of(p, q) so that f(1) =3 is an ext...

    Text Solution

    |

  14. The number of inflection points of a function given by a third degree ...

    Text Solution

    |

  15. Let f(x) = 2 tan^(-1)x + "sin"^(-1) (2x)/(1 + x^(2)) then

    Text Solution

    |

  16. If the normal to the curve x^(3) = y^(2) at the point (m^(2), -m^(3)) ...

    Text Solution

    |

  17. Let f(x) =2 sin x + cos 2x (0 le x le 2pi) and g(x) = x + cos x then

    Text Solution

    |

  18. In the interval (0pi//2) the fucntion f(x)= tan^nxcot^n attains

    Text Solution

    |

  19. Find the number of points of local extrema of f(x)=3x^4-4x^3+6x^2+ax+b...

    Text Solution

    |

  20. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |