Curriculum GuideAdvanced Placement Calculus Page 19
Optimization Problems
LO 2.3C
EK 2.3C3Solve problems involving
related rates, optimization,
rectilinear motion, and
planar motion.The derivative can be used
to solve optimization
problems, that is, finding a
maximum or
minimum value of a function
over a given interval.Writing and optimizing functionsLarson/Hostetler Calculus
8 th
3.7Ed.More Applications of
DerivativesLO 2.3B
EK 2.3B1
EK 2.3B 2Solve problems involving the
slope of the tangent line.The derivative at a point is
the slope of the line tangent
to a graph at that point on
the graph.The tangent line is the graph of
a locally linear approximation
of the function near the point
of tangency.Local Linearization
Differentials
Tangent line approximationsLarson/Hostetler Calculus
8 th
3.9Ed.4