What is the slope of x^2+xy-y^2=-11,(1,4) ?

The slope of x^2+xy-y^2=-11,(1,4) is 6/7

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slope of x^2+xy-y^2=-11,(1,4)

slope

x^{2} + x y - y^{2} = - 11, (1, 4)

\frac{6}{7}

Solution steps

x^{2} + x y - y^{2} = - 11

Use implicit differentiation to find the slope of

x^{2} + x y - y^{2} = - 11

Implicit Derivative

\frac{d y}{d x}

x^{2} + x y - y^{2} = - 11 : \frac{- 2 x - y}{x - 2 y}

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

Find the slope at

(1, 4) : \frac{6}{7}

\frac{6}{7}

t^{2} y^{^{''}} + 3 t y^{^{'}} - 3 y = \frac{1}{t}

\frac{2}{x - 3}

\int cos (x) (7 + 8 sin^{2} (x)) d x

6 y^{^{''}} + 40 y^{^{'}} + 54 y = 0

\frac{d}{d x} (- k x)

What is the slope of x^2+xy-y^2=-11,(1,4) ?
The slope of x^2+xy-y^2=-11,(1,4) is 6/7