Home
Class 11
MATHS
f(x)={(x,0,le,x,le,1),(2x,-,1,1,lt,x,le,...

`f(x)={(x,0,le,x,le,1),(2x,-,1,1,lt,x,le,2):}` then `f'(1^(-))` is :

A

0

B

1

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.5|25 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|34 Videos

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|58 Videos

Similar Questions

Explore conceptually related problems

f(x)={(x,0,le,x,le,2),(3x,-,1,2,lt,x,le,3):} then f'(2^(+)) is:

f(x)={(2x,-,3,0,le,x,le,2),(x^(2),-,3,2,le,x,le,4):} then f'(2^(+)) and f'(2^(-)) are:

If the function f(x)={(x+1",",x le 1),(2x+1",",1lt x le 2):} and g(x)={(x^(2)",", -1 le x lt2),(x+2",",2le x le 3):} then the number of roots of the equation f(g(x))=2

Consider the functions f(x)={(x+1",",x le 1),(2x+1",",1lt x le 2):} and g(x)={(x^(2)",", -1 le x lt2),(x+2",",2le x le 3):} The domain of the function f(g(x)) is

Consider the functions f(x)={(x+1",",x le 1),(2x+1",",1lt x le 2):} and g(x)={(x^(2)",", -1 le x lt2),(x+2",",2le x le 3):} The range of the function f(g(x)) is

Consider two functions f(x)={([x]",",-2le x le -1),(|x|+1",",-1 lt x le 2):} and g(x)={([x]",",-pi le x lt 0),(sinx",",0le x le pi):} where [.] denotes the greatest integer function. The number of integral points in the range of g(f(x)) is

Two functions are defined as under : f(x)={(x+1, x le 1), (2x+1, 1 < x le 2):} and g(x)={(x^2, -1 le x le 2), (x+2, 2 le x le 3):} Find fog and gof

The number of point f(x) ={{:([ cos pix],0le x lt1),( |2x-3|[x-2],1lt xle2):} is discontinuous at Is ([.] denotes the greatest intgreal function )

PREMIERS PUBLISHERS-DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION -PROBLEMS FOR PRACTICE
  1. Differentiate cosec^(-1)((1 + x^(2))/(2x)) with respect to cot^(-1)((1...

    Text Solution

    |

  2. f(x)={(x,0,le,x,le,2),(3x,-,1,2,lt,x,le,3):} then f'(2^(+)) is:

    Text Solution

    |

  3. f(x)={(x,0,le,x,le,1),(2x,-,1,1,lt,x,le,2):} then f'(1^(-)) is :

    Text Solution

    |

  4. If f(x)=x^2 and is differentiable an [1,2] f'(c) at c where c in [1,2]...

    Text Solution

    |

  5. f(x)={(x,0,le,x,le,1),(2x,-,1,1,lt,x,le,2):} then f'(1^(-)) is :

    Text Solution

    |

  6. f(x)=abs(x)+abs(x+1)+abs(x-1)+cosx. At how many points on R, this func...

    Text Solution

    |

  7. f(x)=abs(x)+abs(x-1) find f'(1^(+)):

    Text Solution

    |

  8. f(x)={(2x,-,3,0,le,x,le,2),(x^(2),-,3,2,le,x,le,4):} then f'(2^(+)) an...

    Text Solution

    |

  9. Compute f'(0^(+)) if f(x)=(x(e^(1/x)-1))/(e^(1/x)+1):

    Text Solution

    |

  10. f(x)=ax^(2)+bx+12, f'(2)=11,f'(4)=15, Then a and b are:

    Text Solution

    |

  11. y = tan^(-1)sqrt((1-cosx)/(1+cosx)) dy/dx is:

    Text Solution

    |

  12. y=log(5)x+ 55 then dy/dx is:

    Text Solution

    |

  13. Differentiate (x^(2)-1)/(x^(2)+1) with respect to x:

    Text Solution

    |

  14. y=e^(sinx^(2)), find dy/dx:

    Text Solution

    |

  15. y=e^(sin^(-1)x) find y' at x=0:

    Text Solution

    |

  16. f(x)=sqrt(1+sin2x) then f'(x) is:

    Text Solution

    |

  17. If y=tan^(-1)(e^(x)) find dy/dx at x=0:

    Text Solution

    |

  18. If y = sqrt(x+sqrt(x+sqrt(x+sqrt(x)))) to infty, find dy/dx:

    Text Solution

    |

  19. Differentiate cosec^(-1)(1/(3x-4x^(3))):

    Text Solution

    |

  20. x = a sin^(2)theta , y = b cos^(2)theta then dy/dx:

    Text Solution

    |