Chashokreddy18@gmail.com posted an Question
June 23, 2020 • 16:33 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Real analysis - can you please explain the following? (p1,q2)

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  • Chashokreddy18@gmail.com Tiwari

    I have attached two images, please see that. My doubt is when I solved by using the def of differentiability , I got discontinuous everywhere. So I request once you to check and solve by the def of differentiability.

  • Chashokreddy18@gmail.com Tiwari

    But even at other points like x= 2 and so on, the LEFT HAND and RIGHT HAND DERIVATIVES are not equal.

    cropped1761938464.jpg
    cropped838669506.jpg
  • Chashokreddy18@gmail.com Tiwari

    At x = 1, -1 LEFT HAND and RIGHT HAND DERIVATIVES are not equal ,so discontinuous.

  • Chashokreddy18@gmail.com Tiwari

    can you please explain from this image ( by using the formula of differentiability).

    cropped-1279807529.jpg
  • Priyadarshan Choursiya best-answer

    see attachment

    cropped7539090548306067566.jpg
    eduncle-logo-app

    can you please explain?

    eduncle-logo-app

    since graph is not break anywhere so it is continuous everywhere. and at point of intersection sharp edge comes so not differentiable there.

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