Find All Points at Which the Tangent Line Is Horizontal

question 92

Essay

Find all points at which the tangent line is horizontal on the graph of the function.

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Definitions:

1,4-Polymerization

A type of polymerization where monomers join together at the 1st and 4th positions, typically seen in the production of certain types of plastics and elastomers.

1,3-Butadiene

A simple conjugated diene with the formula C4H6, used as a monomer in the production of synthetic rubber.

Polymer

Large molecules composed of repeating structural units called monomers, which are bonded together via a process known as polymerization.

Cis-1,4-Polybutadiene

A type of synthetic rubber made from the polymerization of 1,3-butadiene monomers, where the polymer chains have a cis configuration leading to higher elasticity.