Home
Class 12
MATHS
Consider the function f(x)={(1+x,xle2),(...

Consider the function `f(x)={(1+x,xle2),(5-x,x>2):}` Check the differentiability of f(x) at x=2.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|53 Videos

  • DETERMINANTS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|116 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x)=frac(x+1)(x-1),xne1 fof(2) =__

Find the range of the function f(x)=(1+x^2)/(x^2)

Consider f(x)={(2x+3,xle2),(x+2k,x>2):} Find f(2)

Consider the real function f(x)=(x+2)/(x-2) Prove that f(x)f(-x)+f(0)=0

Consider the real function f(x)=(x^2+2x+3)/(x^2-8x+12) Find the domain of f.

Consider the function f(x)=frac(x+1)(x-1),xne1 f(3)+f^-1(3)

Consider the function g(x)=abs(x-2)/(x-2) check whether the g(x) is continuous at x=2 .

Consider f(x)={(2x+3,xle2),(x+2k,x>2):} Evalute lim_(xrarr2^+)f(x)

Check the continuity of the function f(x)=2x+3 at x=1

Consider a function f:RrarrR defined by f(x)={(a+x,xle2),(b-x,x>2):} Find a relation between a and b if f is continious at x=2 .

BODY BOOKS PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Consider the function f(x)={((sin^2ax)/x^2,x!=0),(1,x=0):} Redefine th...

    Text Solution

    |

  2. Consider the function f(x)={(1+x,xle2),(5-x,x>2):} Check the different...

    Text Solution

    |

  3. Consider the function f(x)={(1+x,xle2),(5-x,x>2):} Check the different...

    Text Solution

    |

  4. If y=cos^-1[(1-x^2)/(1+x^2)] Put x=tantheta and prove that y=2tan^-1x.

    Text Solution

    |

  5. If y=cos^-1[(1-x^2)/(1+x^2)] Find dy/dx.

    Text Solution

    |

  6. Let siny=xsin(a+y) Express x as a function of y.

    Text Solution

    |

  7. If siny=xsin(a+y), prove that (dy)/(dx)=(sin^2(a+y))/(sina)

    Text Solution

    |

  8. Consider f:[3,infty)to[1,infty) given by f(x)=x^2-6x+10. Find f^-1

    Text Solution

    |

  9. Find dy/dx if x^(2//3)+y^(2//3)=a^(2//3), where a is a constant.

    Text Solution

    |

  10. Find the derivative of log(tan e^x) w.r.t.x.

    Text Solution

    |

  11. Find (dy)/(dx) if 2x+3y=sinx

    Text Solution

    |

  12. Consider the parametric functions x=acos^3theta and y=bsin^3theta. Fin...

    Text Solution

    |

  13. Consider the parametric functions x=acos^3theta and y=bsin^3theta. Sho...

    Text Solution

    |

  14. Differentiate the following. e^(ax).cos(bx+c).

    Text Solution

    |

  15. Differentiate the following. sin[sqrt(sinsqrtx)].

    Text Solution

    |

  16. If y=x^(x^x). Prove that logy=x^x(logx)

    Text Solution

    |

  17. If y=x^(x^x) Find dy/dx.

    Text Solution

    |

  18. Consider y=tan^-1sqrt((1+sinx)/(1-sinx)) . Hence prove that y=pi/4+x/2...

    Text Solution

    |

  19. Consider y=tan^-1sqrt((1+sinx)/(1-sinx)) Find dy/dx.

    Text Solution

    |

  20. sin(xy)+x/y=x^2-y. Evaluate dy/dx

    Text Solution

    |