Math Problem Statement
2
Solution
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Math Problem Analysis
Mathematical Concepts
Derivatives
Linear Equations
Factoring Quadratics
Integration
Algebraic Simplification
Formulas
Derivative of f(x) = 2x^2 + 3x is f'(x) = 4x + 3
Solving 2x + 5 = 13: x = (13 - 5) / 2
Factoring 2x^2 - 8x: 2x(x - 4)
Integral of 2x: ∫2x dx = x^2 + C
Simplifying (2x + 3)(x - 2): 2x^2 - 4x + 3x - 6 = 2x^2 - x - 6
Theorems
Power rule for differentiation
Basic algebraic equation solving
Factoring rule
Integration power rule
Suitable Grade Level
Grades 9-12
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