Find the second derivative of each function, and then find f"(1) and f"(-3). f(x) = 3x4 - 5x² - 11x f(x) = = 4x + 2 3x - 6 Find intervals where the function is concave upward or con- cave downward, and determine any inflection points. x²+x-3 f(x) = -2x³- 1½ x² f(x) = xe2 Critic E

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.CT: Chapter Test
Problem 4CT: Find f(1) and f(2). f(x)=x+7
Question

Solve each problem step by step

Find the second derivative of each function, and then find f"(1)
and f"(-3).
f(x) = 3x4 - 5x² - 11x
f(x) =
=
4x + 2
3x - 6
Find intervals where the function is concave upward or con-
cave downward, and determine any inflection points.
x²+x-3
f(x) = -2x³- 1½ x²
f(x) = xe2
Critic
E
Transcribed Image Text:Find the second derivative of each function, and then find f"(1) and f"(-3). f(x) = 3x4 - 5x² - 11x f(x) = = 4x + 2 3x - 6 Find intervals where the function is concave upward or con- cave downward, and determine any inflection points. x²+x-3 f(x) = -2x³- 1½ x² f(x) = xe2 Critic E
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