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  1. How to detect sharp corners in graphs - Mathematics Stack Exchange

    Aug 16, 2018 · How to detect sharp corners in graphs Ask Question Asked 7 years, 4 months ago Modified 7 years, 4 months ago

  2. Why is a function at sharp point not differentiable?

    Sharp point - aka : The point where slope is not defined. The point exact left and right of the sharp point will give finite slopes but at the exact point where the sharp point occurs, you cannot find a slope.

  3. calculus - Does a limit exist at a cusp or sharp point - Mathematics ...

    Nov 8, 2020 · Does a limit exist at a cusp or sharp point Ask Question Asked 10 years, 4 months ago Modified 4 years, 3 months ago

  4. calculus - Is there anything as 'sharp corner discontinuity ...

    Sep 13, 2022 · My teacher told me if there is a sharp turn in graph, it is called sharp corner discontinuity. But when I was solving problems at Khan Academy(www.khanacademy.org), there I came to know …

  5. why there is no derivative in sharp turns?

    Oct 29, 2014 · A geometric answer: At a sharp corner, there are many possible tangent lines; any line that (locally) intersects the curve only at the corner point meets the geometric definition of a tangent. …

  6. calculus - Would this be classified as a corner or a cusp ...

    Sep 26, 2017 · I would classify this as a corner. This is because "corners" and "cusps" are usually properties of the graph, rather than the function, and they are invariant by rigid movement of the plane.

  7. What is the definition of a cusp? - Mathematics Stack Exchange

    c. Cusps, which are infinitely sharp corners. A cusp is a point where you have a vertical tangent, but with the following property: on one side the derivative is $+\infty$, on the other side the derivative is $-\infty$.

  8. calculus - Original function when derivative has sharp turn ...

    Jun 26, 2019 · 0 I am familiar with why a derivative is undefined where the original function has a sharp turn, but when the derivative has a sharp turn, I don't understand what the original function did that …

  9. Point of Inflection Definition - Mathematics Stack Exchange

    Oct 22, 2020 · So can a sharp corner where concavity changes be a point of inflection Eg F (x)= $$ |x^2 - 4| $$ can we say x = 2 and -2 are point of inflection. (By first definition they are point of inflections …

  10. What is the tangent at a sharp point on a curve?

    Mar 18, 2019 · A tangent is a line that approximates the curve near the point - such that if you zoom in close enough on the point, the tangent and curve become pratically indistinguishable. That is the …