By Haley Dion, V Form

Calculus: Optimization Problem for Derivatives

Editor’s Note: In Advanced Calculus, students spend considerable time studying derivatives (rates of change) and their applications.   This problem is an “optimization” problem that asks students to calculate the best or optimal value relative to a particular situation.   Students need to first interpret the meaning of the problem (which involves particular rates of change) and model the situation with a function.    

In this problem, George wants to minimize the time it takes for him to get home.  Haley applied her understanding of derivatives to determine the exact spot on the shore where George should leave his rowboat before running home.

Haley Dion is a V Form boarding student from Medway, MA. She runs cross country, rows crew, and enjoys spending time with her friends and family.