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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...

This question was answered on Jul 19, 2016. View the Answer

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).

Please show how the answer is obtained.

Top Answer

Here is the answer... View the full answer

Untitled 1.pdf

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...

Other Answers

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

This question was asked on Jul 19, 2016 and answered on Jul 19, 2016.

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