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Curriculum Guide

Advanced Placement Calculus Page 11


Derivatives Geometric
Applications

LO 2.1A Identify the derivative of a
function as the limit of
a difference quotient.

Geometric applications of the
derivative and rates of change

Average rates of change
versus instantaneous rates of
change

Using the derivative to find
information necessary to write
the equations of tangent lines
and normal lines

Using the derivative to
calculate points of horizontal
tangencies

Approximating derivatives
from tables and graphs

Throughout
Larson/Hostetler Calculus
8 th
Ed. Chapter 2 Exercises

Higher Order Derivatives LO 2.1D Determine higher order
derivatives.

Second and higher order
derivatives

Larson/Hostetler Calculus
8 th
2.3, 2.4

Ed.
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