Math Problem Statement
find the slope of the tangent line to the curve x^2+2xy-y^2+x=39 at x=5 with a negative y intercept
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Quadratic Equations
Tangent Line
Formulas
Implicit derivative formula: d/dx(f(x,y))
Quadratic formula: y = (-b ± √(b^2 - 4ac)) / 2a
Slope of tangent line: dy/dx
Theorems
Product Rule
Quadratic Formula
Suitable Grade Level
Grades 10-12
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