What is implicit (dy)/(dx),2x^3-5xy-y^2=3 ?

The answer to implicit (dy)/(dx),2x^3-5xy-y^2=3 is (dy)/(dx)=-(-6x^2+5y)/(2y+5x)

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implicit (dy)/(dx),2x^3-5xy-y^2=3

implicit derivative

\frac{d y}{d x}, 2 x^{3} - 5 x y - y^{2} = 3

\frac{d y}{d x} = - \frac{- 6 x ^{2} + 5 y}{2 y + 5 x}

Solution steps

2 x^{3} - 5 x y - y^{2} = 3

Treat

y

y (x)

Differentiate both sides:

6 x^{2} - 5 (y + x \frac{d y}{d x}) - 2 y \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{- 6 x ^{2} + 5 y}{2 y + 5 x}

\frac{d y}{d x} = - \frac{- 6 x ^{2} + 5 y}{2 y + 5 x}

x \to - 2 lim ((6 x + 1) (2 x - 3))

\frac{d}{d x} (5^{l n (c o s (3 x))})

\frac{d}{d x} (- 3 x + 2)

\int - 2 x^{2} + 4 x d x

\frac{\partial}{\partial x} (9 x y + sin (y))

What is implicit (dy)/(dx),2x^3-5xy-y^2=3 ?
The answer to implicit (dy)/(dx),2x^3-5xy-y^2=3 is (dy)/(dx)=-(-6x^2+5y)/(2y+5x)