Math Problem Statement
Approxima any relative minimum or maximum values of this function then find the intervals where the function is increasing and decreasing f(x)=-2x^3+5x^2-4
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Critical Points
Increasing and Decreasing Functions
Relative Extrema
Formulas
First Derivative: f'(x) = -6x^2 + 10x
Relative Minimum/Maximum Conditions: f'(x) = 0
Intervals of Increase/Decrease: Test signs of f'(x)
Theorems
First Derivative Test for Relative Extrema
Sign of the First Derivative to Determine Increasing/Decreasing Intervals
Suitable Grade Level
Grades 11-12
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