What is the slope of x^2+xy+2y^2=28,(2,3) ?

The slope of x^2+xy+2y^2=28,(2,3) is -1/2

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slope of x^2+xy+2y^2=28,(2,3)

slope

x^{2} + x y + 2 y^{2} = 28, (2, 3)

- \frac{1}{2}

Solution steps

x^{2} + x y + 2 y^{2} = 28

Use implicit differentiation to find the slope of

x^{2} + x y + 2 y^{2} = 28

Implicit Derivative

\frac{d y}{d x}

x^{2} + x y + 2 y^{2} = 28 : \frac{- 2 x - y}{x + 4 y}

\frac{- 2 x - y}{x + 4 y}

Find the slope at

(2, 3) : - \frac{1}{2}

- \frac{1}{2}

t^{2} y^{^{''}} + 7 t y^{^{'}} + 10 y = 0

\int tan (4 x) sec^{5} (4 x) d x

x \to 7 - lim (\frac{1}{x - 7})

x^{2} + 6

arcsin (\frac{x}{7})

What is the slope of x^2+xy+2y^2=28,(2,3) ?
The slope of x^2+xy+2y^2=28,(2,3) is -1/2