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Consider the function:
f(x) = (x² - 1)(x + 3)
A. Find the first derivative.
B. List any critical values.
C. Identify intervals of increase.
D. Identify intervals of decrease.
E. Find the second derivative.
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.
J. Use the second derivative to find any inflection points.
K. State any vertical asymptotes.
L. State any slant asymptotes.

Sagot :

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