Math Problem Statement
f(x) = x/x^2 + 10x + 24 find increasing decreasing of f
Solution
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Math Problem Analysis
Mathematical Concepts
Differentiation
Quotient Rule
Intervals of Increase and Decrease
Critical Points
Formulas
Quotient rule: f'(x) = (g'(x)h(x) - g(x)h'(x))/(h(x))^2
Critical points: f'(x) = 0 or undefined
Quadratic equation: ax^2 + bx + c = 0
Theorems
Quotient Rule
Critical Point Theorem
Suitable Grade Level
Grades 11-12, Undergraduate
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