1. Explain each of the following questions:

(i) When is the chain rule of the derivative used?

(ii) What is the underlying algebraic principle behind the chain rule used to find the derivative. Give an example.(Ensure that you provide self-made examples and explanations, do not copy from the available resources)

2. Find an approximated equation of a tangent line to the folium curveat the point (-0.5, -0.5) using implicit differentiation. Please show step by step working of the problem.