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What points is the tangent line of curve paralell to a vector?

  • Thread starter kelp
  • Start date
  • #1
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Homework Statement


4x^2 - xy + y^2 = 4
At what points is the tangent line to the above curve vector [1 1]T? (T means I transposed the vector)


Homework Equations





The Attempt at a Solution


I have the gradient vector, but I'm conceptually lost about what to do after that.
 

Answers and Replies

  • #2
ideasrule
Homework Helper
2,266
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How can the tangent line be a vector? Do you mean that the vector (1,1) is parallel to the tangent line? If so, just use implicit differentiation, substitute the appropriate value for dy/dx, and solve.
 

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