Math Problem Statement
Find the equation of the line tangent to the graph y = 2x(x^2 - 6x +10)^8 at the point (3,6).
Y=
Solution
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Math Problem Analysis
Mathematical Concepts
Differentiation
Product Rule
Chain Rule
Tangent Line
Formulas
y = 2x(x^2 - 6x + 10)^8
Product Rule: d(uv)/dx = u'v + uv'
Chain Rule: d(g(f(x)))/dx = g'(f(x)) * f'(x)
Point-Slope Form: y - y1 = m(x - x1)
Theorems
Differentiation
Point-Slope Theorem
Suitable Grade Level
Grades 11-12 (Advanced Calculus)
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