Math Problem Statement
Find the points on the curve y = x3 + 3x2 − 9x + 6 where the tangent is horizontal. smaller x-value (x, y)
larger x-value (x, y)
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivative
Quadratic Equations
Critical Points
Formulas
Derivative of y = x^3 + 3x^2 − 9x + 6: y' = 3x^2 + 6x - 9
Quadratic equation: ax^2 + bx + c = 0
Theorems
Critical Points Theorem
Suitable Grade Level
Grades 10-12
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