Here is the problem:

Find the y-coordinate of the points on the graph of

from which the tangents to the curve pass through the origin.

Attempted solution:

Drew the graph of

and sketched two lines, each containing the origin and intersecting the graph in one point.

... given

... equivalent

... u-substitution

... differentiated

... u-function

... differentiated

... chain rule

How do I find the point that I'm looking for on the graph,

I think I'm looking for the equation of each line that contains (0,0) and a point of tangency.

According to my sketch, there seems to be two such points, one in Quadrant I and one in Quadrant IV.

The answer in the back of the textbook is