PowerPoint Presentation

Curriculum Guide

Advanced Placement Calculus Page 13

Derivatives Geometric

Applications

LO 2.3B

EK 2.3B1

EK 2.3B 2

Solve 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.

Using implicit differentiation

write equations of tangent

and normal lines to functions

Using implicit differentiation

calculate points of horizontal

tangencies and equations of

vertical asymptotes

Larson/Hostetler Calculus

8 th

2.5

Ed.

Numerical Derivatives EK 2.1A5

The derivative can be

represented graphically,

numerically, analytically, and

verbally.

Finding and evaluating

implicit derivatives on the

graphing calculator

Supplemental Material