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

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

Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES

    MODERN PUBLICATION|Exercise PROBLEM|2 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise PROBLEM|44 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)={(1-2x,xle1/2),(x-1/2,x>1/2) :} at x=1/2

Examine the continuity of the following functions at indicated points. f(x)=[3x+11]atx=-11/3

Find the derivative of the following functions from definition at the indicated points. tan x at x= pi/3

Test differentiability and continuity of the following functions. f(x) = |sinx| at x = pi

Examine the continuity of the following functions at indicated points. f(x)={((sin2x)/x if xne0 at x=0),(2 if x=0):}

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.

Find the derivative of the following functions from definition at the indicated points. x^4 at x=2

Find the derivative of the following functions from definition at the indicated points. ln x at x=2

Test differentiability and continuity of the following functions. f(x) = cot x at x = pi/2

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PROBLEM
  1. Examine the contiunity of the the following functions at indicated poi...

    Text Solution

    |

  2. Examine continuity and differentiability f(x)={[xsin1/x,if x!=0],[0,if...

    Text Solution

    |

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

    Text Solution

    |

  4. Differentiate x^(sin^(-1)x w.r.t. sin ^(-1).

    Text Solution

    |

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

    Text Solution

    |

  6. Find dy/dx for (x+y)^(cosx) = e^(x+y).

    Text Solution

    |

  7. If 2^(x)+2^(y)+2^(x+y) , then find dy/dx at x=y=1.

    Text Solution

    |

  8. If y=x+e^(x),then find d^(2)x/dy^(2).

    Text Solution

    |

  9. If e^(x)+e^(y)=e(x+y) find dy/dx.

    Text Solution

    |

  10. Differntiate the following functions by proper substitution. [((1+t^2)...

    Text Solution

    |

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

    Text Solution

    |

  12. Find dy/dx if log sqrt(x^2+y^2)=tan^(-1) (y/x)

    Text Solution

    |

  13. sinx=2t/1+t^(2), tany=2t/1-t^(2), find dy/dx.

    Text Solution

    |

  14. Find dy/dx, x=3 cos t-2cos^3t, y=3sint-2sin^3t.

    Text Solution

    |

  15. If y=sin(mcos^(-1)x) then prove that (1-x^(2))y(2)-xy(1)+m^(2)y=0.

    Text Solution

    |

  16. If y=cos^(-1)((2cosx-3sinx)/sqrt13), then find dy/dx.

    Text Solution

    |

  17. Examine the continuity of the following functions at indicated points....

    Text Solution

    |

  18. Show that f(x)={(x sin frac{1}{x}, xne0),(o,x=0):} is continuous at x...

    Text Solution

    |

  19. Prove that e^x-2=0 has a solution between 0 and 1.

    Text Solution

    |

  20. So that x^5+x+1=0 for some value of x between -1 and 0.

    Text Solution

    |