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

The answer to implicit (dy)/(dx),(5x-y)^2-5y=2 is (dy)/(dx)=(-50x+10y)/(-10x+2y-5)

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

implicit derivative

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

\frac{d y}{d x} = \frac{- 50 x + 10 y}{- 10 x + 2 y - 5}

Solution steps

(5 x - y)^{2} - 5 y = 2

Treat

y

y (x)

Differentiate both sides:

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

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{- 50 x + 10 y}{- 10 x + 2 y - 5}

\frac{d y}{d x} = \frac{- 50 x + 10 y}{- 10 x + 2 y - 5}

\frac{\partial}{\partial x} (arccot (\frac{x}{y}))

\frac{d}{d x} (\frac{x + 6}{x - 6})

\frac{d}{d x} (7 + 9 x)

x \to - 1.9 lim (2 sin (x))

x \to 1 - lim (\frac{4}{x - 1})

What is implicit (dy)/(dx),(5x-y)^2-5y=2 ?
The answer to implicit (dy)/(dx),(5x-y)^2-5y=2 is (dy)/(dx)=(-50x+10y)/(-10x+2y-5)