A function and its first and second derivatives are given. Use these to find each of the following. f(x) = 3x5 - 20x3 15x (x - 2)(x + 2) f"(x) = 60x(x2 - 2) f'(x) %3! Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.) relative maxima (x, y) = relative minima (x, y) = points of inflection (x, y) = (smallest x-value) !! points of inflection (x, y) = !! points of inflection (x, y) = (largest x-value) !!

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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A function and its first and second derivatives are given. Use these to find each of the following.
f(x) = 3x5 - 20x3
15x (x - 2)(x + 2)
f"(x) = 60x(x2 - 2)
f'(x)
%3!
Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.)
relative maxima
(x, y) =
relative minima
(x, y) =
points of inflection
(x, y) =
(smallest x-value)
!!
points of inflection
(x, y) =
!!
points of inflection
(x, y) =
(largest x-value)
!!
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 15x (x - 2)(x + 2) f"(x) = 60x(x2 - 2) f'(x) %3! Find the relative maxima, relative minima, and points of inflection. (If an answer does not exist, enter DNE.) relative maxima (x, y) = relative minima (x, y) = points of inflection (x, y) = (smallest x-value) !! points of inflection (x, y) = !! points of inflection (x, y) = (largest x-value) !!
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