Calculus I · Derivatives, rules, and implicit differentiation
Differentiate an implicit curve at a specified point
Problem
The curve $x^2+xy+y^2=7$ contains $(1,2)$. Find the equation of its tangent line at that point. Show the implicit-differentiation step that produces $dy/dx$.
Hint
Name the mathematical object that changes or is sought, and record the domain before doing algebra or calculus.
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