What is the slope of-3x^2-2xy+3y^3=57,(-4,3) ?

The slope of-3x^2-2xy+3y^3=57,(-4,3) is -18/89

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slope of-3x^2-2xy+3y^3=57,(-4,3)

slope

- 3 x^{2} - 2 x y + 3 y^{3} = 57, (- 4, 3)

- \frac{18}{89}

Solution steps

- 3 x^{2} - 2 x y + 3 y^{3} = 57

Use implicit differentiation to find the slope of

- 3 x^{2} - 2 x y + 3 y^{3} = 57

Implicit Derivative

\frac{d y}{d x}

- 3 x^{2} - 2 x y + 3 y^{3} = 57 : \frac{6 x + 2 y}{- 2 x + 9 y ^{2}}

\frac{6 x + 2 y}{- 2 x + 9 y ^{2}}

Find the slope at

(- 4, 3) : - \frac{18}{89}

- \frac{18}{89}

y d y = x + 1 d x

\int \frac{1}{1 - sin ( \frac{1}{2} x )} d x

t^{2} y^{^{''}} + t y^{^{'}} + 4 y = 0

\frac{d}{d x} (x^{3} + x^{2} y + 4 y^{2}) = 6

\int 3 x^{3} cos (5 x) d x

What is the slope of-3x^2-2xy+3y^3=57,(-4,3) ?
The slope of-3x^2-2xy+3y^3=57,(-4,3) is -18/89