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Math Help - does continuity imply partial derivative existance

  1. #1
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    does continuity imply partial derivative existance

    does continuity of function imply existence of partial derivatives.if not please give an example of such a function.
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  2. #2
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    Re: does continuity imply partial derivative existance

    Quote Originally Posted by saurabhtmz View Post
    does continuity of function imply existence of partial derivatives.if not please give an example of such a function.
    No.

    Look at f(x.y) = |x| + |y| . It's continuous everywhere on , yet it is not differentiable on the x & y axes.
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