What is the slope of xy-6y^2=4,(14,2) ?

The slope of xy-6y^2=4,(14,2) is 1/5

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slope of xy-6y^2=4,(14,2)

slope

x y - 6 y^{2} = 4, (14, 2)

\frac{1}{5}

Decimal

0.2

Solution steps

x y - 6 y^{2} = 4

Use implicit differentiation to find the slope of

x y - 6 y^{2} = 4

Implicit Derivative

\frac{d y}{d x}

x y - 6 y^{2} = 4 : - \frac{y}{x - 12 y}

- \frac{y}{x - 12 y}

Find the slope at

(14, 2) : \frac{1}{5}

\frac{1}{5}