March 23, 2017

Post a New Question

Posted by on Monday, December 1, 2008 at 11:17pm.

For a function f(x) the derivative at x=2 is 5. Is the derivative of f(x) continuous at x=2? Thanks!

  • calculus - , Monday, December 1, 2008 at 11:25pm

    If a function has a derivative at a point, the function must be continuous there.

  • calculus - , Tuesday, December 2, 2008 at 7:34am

    Isn't it asking if the derivative is continuous? Not whether the function is continuous?

  • calculus - , Tuesday, December 2, 2008 at 8:35am

    Yes, I misread the question. My mistake.

    According to this reference:
    the existence of a derivative of a function at a point does not necessarily imply that the derivative is continuous. An example is provided of a function with derivatves throughout a region for which the derivative is not continuous at one point in the region.

Answer This Question

First Name:
School Subject:

Related Questions

More Related Questions

Post a New Question