Math Problem Statement
Find the tangent line and normal line of y=3x²-2x+1, (1,2)
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Tangents
Normal Lines
Formulas
Derivative of a polynomial: d/dx(ax^n) = n * ax^(n-1)
Point-slope form of a line: y - y1 = m(x - x1)
Theorems
Power rule for differentiation
The relationship between tangent and normal lines: slopes of perpendicular lines are negative reciprocals
Suitable Grade Level
Grades 11-12
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