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Curriculum Guide

Advanced Placement Calculus Page 12

Differentiability LO 2.2B

EK 2.2B1

EK 2.2B2

Recognize the connection

between differentiability

and continuity.

A continuous function may

fail to be differentiable

at a point in its domain.

If a function is differentiable

at a point, then it is

continuous at that point.

Why the derivative may fail to

exist

Local linearity

Larson/Hostetler Calculus

8 th

2.1

Ed.

Numerical Derivatives EK 2.1A5

The derivative can be

represented graphically,

numerically, analytically, and

verbally.

Finding derivatives on the

graphing calculator

Supplemental Material

Implicit Derivatives

LO 2.1C

EK 2.1C5

Calculate derivatives.

The chain rule is the basis for

implicit differentiation.

Explicit versus implicit

definitions of functions

Implicit differentiation process

Larson/Hostetler Calculus

8 th

2.5

Ed.