3. Consider the function f(x) I + 3 a. Find the first derivative. f'(x) b. List any critical values. c. Identify intervals of increase. Idontif intenbls of dncroase

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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2x 3
Consider the function f(x)
I + 3
a. Find the first derivative. f'(x).
b. List any eritical values.
c. Identify intervals of increase.
d. Identify intervals of decrease.
e. Find the second derivaitve. f(x) =
f. Based on parts b through e, f(r) has a maximum of y
when I =
g. Based on parts b through e, f(x) has a minimum of y =
when I =
h. Use the second derivative to identify intervals where f(z) is concave up.
i. Use the second derivative to identify intervals where f(2) is concave down.
j. Use the second derivative to find any inflection points.
k. State any vertical asymptotes.
1. State any slant asymptotes.
Transcribed Image Text:2x 3 Consider the function f(x) I + 3 a. Find the first derivative. f'(x). b. List any eritical values. c. Identify intervals of increase. d. Identify intervals of decrease. e. Find the second derivaitve. f(x) = f. Based on parts b through e, f(r) has a maximum of y when I = g. Based on parts b through e, f(x) has a minimum of y = when I = h. Use the second derivative to identify intervals where f(z) is concave up. i. Use the second derivative to identify intervals where f(2) is concave down. j. Use the second derivative to find any inflection points. k. State any vertical asymptotes. 1. State any slant asymptotes.
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