What is the slope of 6x^2+2xy+2y^2=74,(3,2) ?

The slope of 6x^2+2xy+2y^2=74,(3,2) is -20/7

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slope of 6x^2+2xy+2y^2=74,(3,2)

slope

6 x^{2} + 2 x y + 2 y^{2} = 74, (3, 2)

- \frac{20}{7}

Solution steps

6 x^{2} + 2 x y + 2 y^{2} = 74

Use implicit differentiation to find the slope of

6 x^{2} + 2 x y + 2 y^{2} = 74

Implicit Derivative

\frac{d y}{d x}

6 x^{2} + 2 x y + 2 y^{2} = 74 : - \frac{6 x + y}{x + 2 y}

- \frac{6 x + y}{x + 2 y}

Find the slope at

(3, 2) : - \frac{20}{7}

- \frac{20}{7}

\int \frac{1}{1 - 36 x ^{2}} d x

y^{^{'''}} - 4 y^{^{''}} - y^{^{'}} + 4 y = 0

x \to 2 lim (\frac{3 ^{x} - 9}{x - 2})

\frac{\partial}{\partial x} (9 x e^{x^{2} + y^{2}})

What is the slope of 6x^2+2xy+2y^2=74,(3,2) ?
The slope of 6x^2+2xy+2y^2=74,(3,2) is -20/7