Math Problem Statement
Given the function f, prime, of, x, equals, x, cubed, minus, 15, x, commaf ′ (x)=x 3 −15x, determine all intervals on which ff is decreasing.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Intervals of Increase and Decrease
Critical Points
Formulas
Derivative: f'(x) = x^3 - 15x
Theorems
First Derivative Test
Suitable Grade Level
Grades 11-12
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