Problem 6.1: f (x) = 2x³ -3x² - 4. Use the second derivative test to classify the critical points.
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Problem 6.2: Describe the concavity of f (x) = 2x³ -3x² - 4 and find any inflection points.
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Problem 6.3: f (x) = sin(x). Use the second derivative test to classify the critical points on the interval [0, 2π].
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Problem 6.4: Describe the concavity of f and find any inflection point for f (x) = sin(x) on the interval [0, 2π].
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