What is a cusp? Give examples.

Step 1 of 3</p>

In this problem, we have to define cusp with example.

Step 2 of 3</p>

A point at which two branches, such that the tangent of each branch are equal of a curve meet is

called cusp.

For example

Consider a curve .

Differentiating both sides with respect to , we get

.

Therefore and

Hence, it is clear that the graph of this function becomes vertical and is a reflection of itself about the y-axis.