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Curriculum Guide

Honors Calculus I
Page 16

Extreme Values

LO 2.3C

EK 2.3C3

The derivative can be used to

solve optimization problems,

that is, finding a maximum or

minimum value of a function

over a given interval.

Absolute (global) extrema

Relative (local) extrema

Definition of critical value

Larson/Hostetler Calculus

8 th

3.1, 3.3

Ed.

30

Implications of the

Derivatives

LO 2.4A

EK 2.4A1

Apply the Mean Value

Theorem to describe the

behavior of a function

over an interval.

If a function f is continuous

over the interval [a, b] and

differentiable over the interval

(a,b), the Mean Value Theorem

guarantees a point within that

open interval where the

instantaneous rate of change

equals the average rate of

change over the interval.

Rolle’s theorem

Mean Value theorem

Larson/Hostetler Calculus

8 th

3.2

Ed.

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