A cusp or corner in a graph is a sharp turning point. These are critical points: either a local maximum (the tallest point on the graph) or local minimum (the lowest point). Cusps in Graphs: Examples. In general, the easiest way to find cusps in graphs is to graph the function with a graphing calculator.

2017年9月14日 · At the corner $(x \approx 1.81,y=1), y^{'}= \pm 1.59, y^{''}=0 $. A cusp has first degree contact, same slope of infinite curvature whose sign changes at cusp location and the slope also passes through either zero or infinity value.

2021年2月22日 · At x = -4 and 2 (cusp/corner) At x = -6.5 (vertical tangent) See, that’s not too difficult to spot, right? Summary. So, in this video lesson you’ll learn how to determine whether a function is differentiable given a graph or using left-hand and right-hand derivatives.

尖点（cusp）是曲线中的一种奇点，曲线在尖点。 若一曲线可以由几组光滑函数来表示，几组光滑函数有交点，但曲线只通过此交点一次，此交点即为尖点。

In this video we shall learn the corner point, vertical tangent and the cusp to graph of a function and difference between them.

2018年2月5日 · At an elementary stage, when one talks about a cusp or a corner of a curve $h(t)$ at $x_0$, it would mean that: $\lim_{t\rightarrow 0}\frac{h(x_0+t)-h(x_o)}{t} $ doesn't exist and in particular it is different when $t$ approaches $0$ from the left and from the right.

A cusp, or spinode, is a point where two branches of the curve meet and the tangents of each branch are equal. A corner is, more generally, any point where a continuous function's derivative is discontinuous. Use Wolfram|Alpha to locate and visualize cusps and 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 $-\infty$. The paradigm example was stated above: $y = x^{2\over3}$ .

2020年9月1日 · 在几何数学里，cusp是指 曲线函数 上的尖点，从尖点的一侧到另一侧，函数的一些性质，比如 单调性 、斜率等，就发生了变化。 由此，cusp引申为： 从一种状态到另外一种状态的过渡点 。

As nouns the difference between corner and cusp is that corner is the point where two converging lines meet; an angle, either external or internal while cusp is a sharp point or pointed end. As a verb corner is to drive (someone) into a corner or other confined space.