PowerPoint Presentation

Curriculum Guide

Calculus I
Page 17

Using derivatives to

analyze graphs

LO 2.2A

EK 2.2A1

Use derivatives to analyze

properties of a function.

First and second derivatives

of a function can provide

information about the

function and its graph

including intervals of

increase or decrease, local

(relative) and global

(absolute) extrema, intervals

of upward or downward

concavity, and points of

inflection.

The first derivative test

Increasing and decreasing

(intervals)

The second derivative test

Concavity and inflection points

Curve Sketching

Larson/Hostetler Calculus

8 th

3.3, 3.4, 3.6

Ed.