Anonymous asked in Science & MathematicsMathematics · 5 months ago

show that the function f(x)=x is continuous but not differentiable at x=0?

3 Answers

  • 5 months ago

    False. If f(x) = x, then the derivative is 1 at all points, including the point x = 0.

    • Lv 4
      5 months agoReport

      good answer; also, in a two-dimensional Cartesian Plane, f(x) is the straight line containing the point (0,0) with slope = 1

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  • 5 months ago

    Refer to the attached image

    Attachment image
    • ...Show all comments
    • RealPro
      Lv 7
      5 months agoReport

      Since that is pure gibberish I would skip it. Unless they used a curvy x to mean |x| in which case w.o.w.

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  • 5 months ago

    You meant f(x) = |x|?

    Derivative jumps from -1 to 1 in 0 distance.

    Of course you already googled it so do you have a specific question?

    • Mark5 months agoReport

      Refer to the image added

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