Home
Class 12
MATHS
If f(x)={{:(x + 1, x gt 1),(0",", x=1 " ...

If `f(x)={{:(x + 1, x gt 1),(0",", x=1 " then f '(0) equal to "),(7-3x"," , x lt 1):}`

A

`-1`

B

`-2`

C

`-3`

D

`-4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 18

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • JEE MOCK TEST 20

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If f(x+1)=2x+7 then f(0) is equal to

f(x){{:(2x "," if x lt 0 ),(0"," if 0 le x le 1),(4x "," if x gt 1 ):}

If f(x) = {(1+x^(2),",", "when"0 le x lt 1),(1-x,",","when"x gt 1):} , then

f(x)={{:(,[x]," if "-3 lt x le -1),(,[x]," if "-1 lt x lt),(,|[-x]|," if "1 le x lt 3):}" then "{x : f(x) ge 0} is equal to :

If a function f(x) is defined as f(x) = {{:(-x",",x lt 0),(x^(2)",",0 le x le 1),(x^(2)-x + 1",",x gt 1):} then

If f(x)={:{(x", for " 0 le x lt 1),(2", for " x=1),(x+1", for " 1 lt x le 2):} , then f is

If f(x)={{:(mx^2+x+n,"," x lt 0),(nx +m ,"," 0 le x le 1),(2nx^3+x^2-2x+m,","x gt1):} and lim_(xto0)f(x) and lim_(xto1) f(x) exist then

NTA MOCK TESTS-JEE MOCK TEST 2-MATHEMATICS
  1. The lines represented by the equation x^2 + 2sqrt(3)xy + 3y^(2) -3x...

    Text Solution

    |

  2. At present, a firm is manufacturing 2000 items. It is estimated that t...

    Text Solution

    |

  3. Let f: R to R be a periodic function such that f(T+x)=1" " where T...

    Text Solution

    |

  4. AB is vertical tower. The point A is on the ground and C is the middle...

    Text Solution

    |

  5. If f(x)={{:(x + 1, x gt 1),(0",", x=1 " then f '(0) equal to "),(7-3x"...

    Text Solution

    |

  6. If x = -1 and x = 2 are extreme points of f(x) = alpha log|x| + beta x...

    Text Solution

    |

  7. If x takes negative permissible value then sin^(-1)x=

    Text Solution

    |

  8. If f(x)=Pi(k=1)^(999)(x^(2)-47x+k). then product of all real roots of ...

    Text Solution

    |

  9. In a certain town 25% families own a cellphone, 15% families own a sco...

    Text Solution

    |

  10. The number of ways of arranging 8 men and 5 women around a circular ta...

    Text Solution

    |

  11. Let A=[(-1,2,-3),(-2,0,3),(3,-3,1)] be a matrix, then |A|adj(A^(-1)) i...

    Text Solution

    |

  12. If the equation x^(2)+4+3sin(ax+b)-2x=0 has at least one real solution...

    Text Solution

    |

  13. Fifteen coupens are numbered 1, 2, 3,... 15 respectively. Seven coupon...

    Text Solution

    |

  14. For x in R, x != 0 if y(x) is a differentiable function such that x in...

    Text Solution

    |

  15. If O is the origin and OP, OQ are distinct tangents to the circle x^(2...

    Text Solution

    |

  16. The inradius of the triangle having sides 26,28,30 units is

    Text Solution

    |

  17. Let the sum sum(n=1)^(9)1/(n(n+1)(n+2)) written in the rational form b...

    Text Solution

    |

  18. In a DeltaABC if /A=/B=1/2(sin^(-1)((sqrt(6)+1)/(2sqrt(3)))+sin^(-1)(...

    Text Solution

    |

  19. lim(xto0)(sin^(-1)x-tan^(-1)x)/(x^(3)) is equal to

    Text Solution

    |

  20. A farmer F1 has a land in the shape of a triangle with vertices at P(0...

    Text Solution

    |