Consider the curve (21)(2)=(2)()where d is some constant to be manipulated by you. Use Desmos(Links to an external site.) to choose a to your liking.

Now respond to the following questions:

(a) Provide all the points (x and y coordinates) where the graph has a horizontal tangent line.

(b) Provide all the points (x, and y coordinates) where the graph has a vertical tangent line.

(c) Pick any other point on the graph, and find the equation of its tangent line.

(d) Provide the graph along with the corresponding points (found above), and the tangent line labelled and exported from Desmos(Links to an external site.).

(e) Provide a link to the WolframCloud calculations performed as evidence of your work.