Math Problem Statement

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Diberikan fungsi y = (1/3)x^3 + (1/2)x^2 - 6x + 8. Tentukan: a) Interval mana y naik dan turun, b) Titik maksimum, titik minimum, dan titik belok dari y, c) Gambar sketsa grafik fungsi y.

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivative
Critical Points
Increasing and Decreasing Intervals
Inflection Points

Formulas

y' = dy/dx for finding critical points
y'' = d²y/dx² for concavity and inflection points

Theorems

First Derivative Test
Second Derivative Test

Suitable Grade Level

Grades 11-12

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