Home
Class 12
MATHS
Test differentiability of the following ...

Test differentiability of the following function at the indicated points.
`f(x)={(1-2x,xle1/2),(x-1/2,x>1/2) :} at x=1/2`

Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 6

    MODERN PUBLICATION|Exercise EXERCISE|43 Videos

  • TEST PAPER 8

    MODERN PUBLICATION|Exercise EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

Test differentiability of the following function at the indicated points. f(x)=[x^2+1]at x=-1/2

Test differentiability of the following function at the indicated points. f(x)=x+|cosx|at x= pi/2

f(x)={(1-x, x le1/2),(x,x gt 1/2):} at x=1/2

Examine the continuity of the following functions at the indicated points: f(x) = {(x+1/2,xle1/2),(3/2-x a,xgt1/2):}at x=1/2

Examine the continuity of the following functions at indicated points. f(x)={(1/(x+[x])ifxlt0),(-1 if xge0):}

Examine the continuity of the following functions at indicated points. f(x)={((x^2-1)/(x-1)ifxne1 at x=1),(2if x=1):}

Examine the contiunity of the following functions at the indicated points . f(x) = {[2x+1 ,if xle0],[x, if 0 < x < 1],[2x-1,if xge1]:} at x=0,1.

examine the contiunity of the following functions at indicated points . f(x) = {[(1+2x)^(1/x)if x!= 0],[(e^2)if x=0]:} at x=0 .

Test differentiability and continuity of the following functions. |1-1/x| at x = 1

Examine the continuity of the following functions at indicated points. f(x)={(1/(e^(1/2)-1)ifxgt0 at x=0),(0 if xle0):}

MODERN PUBLICATION-TEST PAPER 7-EXERCISE
  1. Express as a sum of a symmetric and a skew symmetric matrix: [[x,a,b],...

    Text Solution

    |

  2. Prove the following : [[sinalpha,cosalpha,cos(alpha+delta)],[sinbeta,c...

    Text Solution

    |

  3. Test differentiability of the following function at the indicated poin...

    Text Solution

    |

  4. if x=e^(t)sin t and y=e^(t)cos t, then prove that (x+y)^(2)(d^(2)y)/dx...

    Text Solution

    |

  5. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

    Text Solution

    |

  6. If tangents are drawn from the origin to the curve y = sin x then sho...

    Text Solution

    |

  7. Test the function y = (x - 5)^5( x + 2)^2 for extreme values.

    Text Solution

    |

  8. Evaluate : int ((sinxcosx)/(sin2x) - 2sinx+3)dx .

    Text Solution

    |

  9. int0^(pi/2)(cosxdx)/((sinx+1)(sinx+2))

    Text Solution

    |

  10. Solve : (x + 2y^3)dy/dx = y.

    Text Solution

    |

  11. Find the general solution of dy/(du) = u+1/sqrtu + 6u + 5.

    Text Solution

    |

  12. Prove the following by vector method. The diagonals of a rhombus are a...

    Text Solution

    |

  13. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  14. Find the image of the point (3,5,7) with respect to the plane 2x+y+z=6...

    Text Solution

    |

  15. Obtain the equation of the line through the point (1, 2, 3) and parall...

    Text Solution

    |

  16. Find the inverse of the following matrices using elementary transforma...

    Text Solution

    |

  17. Prove the following: [[b^2-ab,b-c,bc-ac],[ab-a^2,a-b,b^2-ab],[bc-ac,...

    Text Solution

    |

  18. Evaluate : int ln(1+x)/(1+x) dx

    Text Solution

    |

  19. Solve: xdy/dx+y=y^2ln x

    Text Solution

    |

  20. Find the area of the région on closed between y = 4x-1 and y^2=2x

    Text Solution

    |