The curve y = |x|/ 5 − x2 is called a bullet-nose curve. find an equation of the tangent line to this curve at the point (2, 2).

We have the following curve:



So we need to find an equation of the tangent line to this curve at the point . So let's find out if this point, in fact, belongs to the curve:

. 

We also know that:



Given that the point is:



Then we will say that:



Therefore:



Computing the derivative:



So the derivative solved for is in fact the slope of the line at the point , then:



Finally, the tangent line is:



This is shown in the figure below.

Google it that might work