Home
Class 12
MATHS
Find the value of a and b if the functio...

Find the value of a and b if the function given below is continuous. ` f(x)={(5, if x le 2),(ax+b, if 2ltxlt10),(21, if xge10):}`

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SHARAM PUBLICATION|Exercise EXAMPLE|118 Videos

  • DETERMINANT

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

Find the values of a and b such that the function f defined by f(x) = {(ax^2+b, if x 1):} .

Examine the continuity of given function f(x)={{:(2x+1, "if" xle0),(x, "if"0ltxlt1),(2x-1, "if"xge1):} at x=0,1

Find the value of k so that the function f defined below is continuous at x=0 f(x)={[(sin2x)/(5x)",",x!=0],[k",",x=0]:}

Find the values of a and b, if the function f defined as f(x) {(x^2+3x+a, if xle1),(bx+2,if x>1):} is diffentiable at x = 1

Find the point of discontinuity of the function f(x)={:{((sin2x)/(x)", if "xlt0),(x+2", if "xge0):}

Show that the function f(x)=2x-|x| is continuous at x=0 .

Find the value of k if the function f(x) defined by f(x)={(2x-1,when x 2):} is continous at x=2.

Find the value of k if the function f(x) defined by f(x)= {(2x-1,whenx 2):} is continous at x=2.

Find the value of k so that the function f is continuous at x=pi//2,f(x)={:{((kcosx)/(pi-2x)", if "x!=(pi)/(2)),(5", if "x=(pi)/(2)):}

Find the values of a and b such that the function f defined by f(x)={:{((x-4)/(|x-4|)+a", if "xlt4),(a+b", if "x=4" is a"),((x-4)/(|x-4|)+b", if "xgt4):} continuous function at x=4 .

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...

    Text Solution

    |

  2. Find the relationship between a and b so that thefunction defined by f...

    Text Solution

    |

  3. Find the value of a and b if the function given below is continuous. ...

    Text Solution

    |

  4. For what value of k the following function is continuous at x=0 ? f(...

    Text Solution

    |

  5. If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...

    Text Solution

    |

  6. Show that : sin^2x is continuous for everyreal value of x.

    Text Solution

    |

  7. f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

    Text Solution

    |

  8. If 'f(x)= {((1-cos4x)/(x^2)),whenx<0),(k,whenx=0),(sqrtx/(sqrt(16+sqrt...

    Text Solution

    |

  9. Find the value of k so that the function f defined by f(x)={((kcos x)/...

    Text Solution

    |

  10. If the function f(x)={:{(3ax+b", if "xgt1),(11", if "x=1)...

    Text Solution

    |

  11. Find all points of discontinuity of f, where f is defined by f(x)={:{(...

    Text Solution

    |

  12. Find the derivative of tan^(-1)((cosx+sinx)/(cosx-sinx)) w.r.t. x.

    Text Solution

    |

  13. What is the derivative of e^(3logx) w.r.t.x?

    Text Solution

    |

  14. If u=t^2and v=sint^2then dv/du=.

    Text Solution

    |

  15. If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=

    Text Solution

    |

  16. Write the derivative of sinx with respect to cosx.

    Text Solution

    |

  17. If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^(2))] then find (dy)/(dx)

    Text Solution

    |

  18. if e^x+e^y=e^(x+y) then show that (dy)/(dx)+e^(y-x)=0.

    Text Solution

    |

  19. Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...

    Text Solution

    |

  20. Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...

    Text Solution

    |