Math Problem Statement
Find the equation of the line tangent to the curve 2(x^2+y^2)^2 = 25(x^2-y^2) at the point (-3,1) when the equation of this tangent line is written in the form y=mx+b
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Tangent Line
Point-Slope Form
Algebra
Formulas
Implicit differentiation: dy/dx = (f'(x) - f(y) * dy/dx)
Point-Slope form: y - y1 = m(x - x1)
Theorems
Implicit Differentiation
Point-Slope Form of a Line
Suitable Grade Level
Grades 11-12
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