A function and its first and second derivatives are given. Use these to find each of the following. 3x5 – 20x3 15x2(x – 2)(x + 2) f"(x) = 60x(x² – 2) f(x) f'(x) %3D %3D Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.) relative maxima (х, у) %3D relative minima (х, у) %3D points of inflection (х, у) %3D (smallest x-value) points of inflection (х, у) %3D points of inflection (х, у) %3D ) (largest x-value)
A function and its first and second derivatives are given. Use these to find each of the following. 3x5 – 20x3 15x2(x – 2)(x + 2) f"(x) = 60x(x² – 2) f(x) f'(x) %3D %3D Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.) relative maxima (х, у) %3D relative minima (х, у) %3D points of inflection (х, у) %3D (smallest x-value) points of inflection (х, у) %3D points of inflection (х, у) %3D ) (largest x-value)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A function and its first and second derivatives are given. Use these to find each of the following.
f(x) = 3x5 – 20x3
15х2 (х - 2)(х + 2)
f"(x) = 60x(x² – 2)
f'(x)
Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.)
relative maxima
(х, у)
=
relative minima
(х, у)
points of inflection
(х, у) %3
(smallest x-value)
points of inflection
(х, у) —
points of inflection
(х, у) %—
(largest x-value)
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