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Mathematics - Calculus

Suppose we want to analyze the function: f(x) = 3x^4 - 8x^3

(a) Determine all points where the concavity of the function is zero.
(b) Which of these points is inflection points?

(Please see the attached file)


Solution Preview

f(x) = 3x^4 - 8x^3

f'(x) = 12x^3 - 24x^2

f"(x) = 36x^2 - 48x

(a) For concavity to be 0, f"(x) = ...

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