What is implicit (dy)/(dx),x^2-xy+y^2=19 ?

The answer to implicit (dy)/(dx),x^2-xy+y^2=19 is (dy)/(dx)=(-2x+y)/(-x+2y)

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implicit (dy)/(dx),x^2-xy+y^2=19

implicit derivative

\frac{d y}{d x}, x^{2} - x y + y^{2} = 19

\frac{d y}{d x} = \frac{- 2 x + y}{- x + 2 y}

Solution steps

x^{2} - x y + y^{2} = 19

Treat

y

y (x)

Differentiate both sides:

2 x - 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{- 2 x + y}{- x + 2 y}

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(3 ln (x))^{^{'}}

\frac{d}{d x} (sin (\frac{1}{x ^{2} - 5}))

What is implicit (dy)/(dx),x^2-xy+y^2=19 ?
The answer to implicit (dy)/(dx),x^2-xy+y^2=19 is (dy)/(dx)=(-2x+y)/(-x+2y)