What is the slope of (x-2y)^3=2y^2-3 ?

The slope of (x-2y)^3=2y^2-3 is -(-3x^2+12xy-12y^2)/(2(3x^2+12y^2+2y-12xy))

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slope of (x-2y)^3=2y^2-3

slope

(x - 2 y)^{3} = 2 y^{2} - 3

- \frac{- 3 x ^{2} + 12 x y - 12 y ^{2}}{2 ( 3 x ^{2} + 12 y ^{2} + 2 y - 12 x y )}

Solution steps

(x - 2 y)^{3} = 2 y^{2} - 3

Use implicit differentiation to find the slope of

(x - 2 y)^{3} = 2 y^{2} - 3

Implicit Derivative

\frac{d y}{d x}

(x - 2 y)^{3} = 2 y^{2} - 3 : - \frac{- 3 x ^{2} + 12 x y - 12 y ^{2}}{2 ( 3 x ^{2} + 12 y ^{2} + 2 y - 12 x y )}

- \frac{- 3 x ^{2} + 12 x y - 12 y ^{2}}{2 ( 3 x ^{2} + 12 y ^{2} + 2 y - 12 x y )}

\frac{d y}{d x}, x + y = 9

ln (e^{x})

\int 1 + e^{2 t} d t

\int_{0}^{1} π (x)^{2} d x

What is the slope of (x-2y)^3=2y^2-3 ?
The slope of (x-2y)^3=2y^2-3 is -(-3x^2+12xy-12y^2)/(2(3x^2+12y^2+2y-12xy))