f. Based on parts b through e, f(x) has a maximum of y = when x = g. Based on parts b through e, f(x) has a minimum of y when x = h. Use the second derivative to identify intervals where f(x) is concave up. i. Use the second derivative to identify intervals where f(x) is concave down.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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2 - - 12
Consider the function f(x)% =
%3D
x+ 4
a. Find the first derivative. f(x) =
b. List any critical 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(x) has a maximum of y
when x =
g. Based on parts b through e, f(x) has a minimum of
when x =
h. Use the second derivative to identify intervals where f(x) is concave up.
i. Use the second derivative to identify intervals where f(x) is concave down.
j. Use the second derivative to find any inflection points.
k. State any vertical asymptotes.
L. State any slant asymptotes.
Transcribed Image Text:2 - - 12 Consider the function f(x)% = %3D x+ 4 a. Find the first derivative. f(x) = b. List any critical 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(x) has a maximum of y when x = g. Based on parts b through e, f(x) has a minimum of when x = h. Use the second derivative to identify intervals where f(x) is concave up. i. Use the second derivative to identify intervals where f(x) is concave down. j. Use the second derivative to find any inflection points. k. State any vertical asymptotes. L. State any slant asymptotes.
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