Author: Jennifer Krupa

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1. Consider the function

f(O.1) and f(â0.1).

f

= :rcos(a3). Use a linear approximation to estimate

2. The following is the graph of a function fâ(:1:)

5.

y = f'(rB)

-1'.s

critical points of the function f

(b) What are the locations of the local minimum points of f

at which a:~values do the local mimimums of f

occur?

(a) What

are the

(c) What are the locations of the local maximum points of f

at Which x-values do the local maximums of f

occur?

(cl) Where is

(e) Where is

f

f

(In other Words,

(In other words,

concave up?

concave

down?

(f) Sketch a graph of f

3. Consider the function

f

=

f satisfies the conditions for the Mean Value Theorem using

the interval [1,3].

(b) Find a c which satisfies the conclusion for the Mean Value Theorem for f

on the interval [1,3].

(a) Argue that

4. Use the closed interval method to find the maximum and minimum values of the

= 2:1:\/9 â$2 on the interval [1,3].

function f

1

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