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# Write an equation of the tangent line to the graph of a differentiable function (y as a function of x) which satisfies the relation x^2+4xy+y^2=13 at...

Write an equation of the tangent line to the graph of a differentiable function (y as a function of x) which satisfies the relation x^2+4xy+y^2=13 at the point (2,1).

x 2 4 xy y 2 13
dy dy 2x 4 y x 2 y
0
dx dx dy
dy
2x 4 y 4x 2 y
0
dx
dx
dy 4x 2 y 2 x 4 y dx
dy
2x 4 y dx
4x 2 y
dy
dx x 2, y 1 2 2 4 1
4 4 2 2 1
5 using point-slope form
4
y 2 x 1
5
4
4
y2 x
5
5
4...

x² + 4xy + y² = 13 at the point (2, 1). Differentiating both sides of this equation with respect to x,the first term gives... View the full answer

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