What is the tangent of 3x^2+xy+3y^2=7,(1,1) ?

The tangent of 3x^2+xy+3y^2=7,(1,1) is y=-x+2

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tangent of 3x^2+xy+3y^2=7,(1,1)

tangent of

3 x^{2} + x y + 3 y^{2} = 7, (1, 1)

y = - x + 2

Solution steps

Find the slope of

3 x^{2} + x y + 3 y^{2} = 7 : \frac{d y}{d x} = \frac{- 6 x - y}{x + 6 y}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = - 1

Find the line with slope m=

- 1

and passing through

(1, 1) : y = - x + 2

y = - x + 2

What is the tangent of 3x^2+xy+3y^2=7,(1,1) ?
The tangent of 3x^2+xy+3y^2=7,(1,1) is y=-x+2