Home
Class 12
MATHS
The values of a and b if the function f(...

The values of a and b if the function `f(x)={{:(x^(2)+3x+a",",xle1),(bx+2",",xgt1):}` is differentiable at x =1, are :

A

a = 3, b=5

B

a = 2,b=4

C

a = 4, b = 6

D

a = 5, b = 7

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 09

    EDUCART PUBLICATION|Exercise SECTIONS-C|8 Videos

  • SAMPLE PAPER 09

    EDUCART PUBLICATION|Exercise SECTIONS-C|8 Videos

  • SAMPLE PAPER - 5

    EDUCART PUBLICATION|Exercise Section - C|10 Videos

  • SAMPLE PAPER 11

    EDUCART PUBLICATION|Exercise SECTION- C|4 Videos

Similar Questions

Explore conceptually related problems

The value of m which the function f(x) {{:( mx^(2), "for " xle 1 ),( 2x,"for" xgt 1 ):} is differentiable at x= 1,is

Find the values of a and b , if the function f defined by f(x)={x^2+3x+a ,xlt=1b x+2,x >1 is differentiable at x=1

Find the values of a and b so that the function f(x)={x^2+3x+a , bx2 ,ifxlt=1ifx >1 is differentiable at each xRdot

If f(x)={{:(e^(2x^(2)+x),":",xgt0),(ax+b,":",xle0):} is differentiable at x=0 , then

Find the values of a and b, if the function f(x) defined by f(x)={x^(2)+3x+a,x is differentiable at x=1

A function f(x) = {:{(1+x",",xle2),(5-x,","xgt2):} is

For what choices of a, b, c, if any, does the function f(x)={{:(ax^(2)+bx+x" , "0lexle1),(bx-c" , "1lexle2),(x" , "xgt2):} become differentiable at x = 1 and x = 2?

EDUCART PUBLICATION-SAMPLE PAPER 09-SECTIONS-B
  1. If y=sin ^(-1) ((2^(x+1))/( 1+4^(x))),then (dy)/(dx) =

    Text Solution

    |

  2. The feasible region of a sytem of linear inequations is shown below. I...

    Text Solution

    |

  3. The function f(x)=x^(2)-x+1 is :

    Text Solution

    |

  4. If A^(-1)=[(0,1,-2),(-2,9,-23),(-1,5,-13)],B^(T)=[11-5-3] and X=A^(-1)...

    Text Solution

    |

  5. Let A={1,2,3,......,} and the relation R defined as (a, b) R (c,d) if ...

    Text Solution

    |

  6. The value of sin((pi)/(2)+2sin^(-1)(1)) is:

    Text Solution

    |

  7. If A is a square matrix of order n×n such that find the value of |5Aa...

    Text Solution

    |

  8. The values of a and b if the function f(x)={{:(x^(2)+3x+a",",xle1),(bx...

    Text Solution

    |

  9. If e^(v)+e^(u)=e^(v+u), then (du)/(dv)=

    Text Solution

    |

  10. The corner points of a feasible region determined by a system of linea...

    Text Solution

    |

  11. The function f:(-oo,0)to(-1,0) defined by f(x)=(x)/(1+|x|) is :

    Text Solution

    |

  12. The principal value of sec^(-1)(-(2)/(sqrt3)) is :

    Text Solution

    |

  13. If [(a+4,3b),(8,-6)]=[(2a+2,b+2),(8,a-8b)], the the respective values ...

    Text Solution

    |

  14. If A is a square matrix of order 3 such that |adjA|=64, then the value...

    Text Solution

    |

  15. Which of the following functions is decreasing on (0,(pi)/(2))?

    Text Solution

    |

  16. The local maximum value of the function f(x)=((x-1)(x-6))/(x-10) is:

    Text Solution

    |

  17. If |A|=|(a,4),(4,a)| and |A^(3)|=729, then the value of a is :

    Text Solution

    |

  18. If y=10^(10^(x)) then (dy)/(dx) is :

    Text Solution

    |

  19. Asha and Kiran went to a market to buy some stationary. Asha bought 5 ...

    Text Solution

    |