What is implicit x^2+11xy+y^2=11 ?

The answer to implicit x^2+11xy+y^2=11 is (dy)/(dx)=(-2x-11y)/(11x+2y)

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implicit x^2+11xy+y^2=11

implicit derivative

x^{2} + 11 x y + y^{2} = 11

\frac{d y}{d x} = \frac{- 2 x - 11 y}{11 x + 2 y}

Solution steps

x^{2} + 11 x y + y^{2} = 11

Treat

y

y (x)

Differentiate both sides:

2 x + 11 (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 - 11 y}{11 x + 2 y}

\frac{d y}{d x} = \frac{- 2 x - 11 y}{11 x + 2 y}

x (x^{3} + 1) y^{^{'}} + (2 x^{3} - 1) y = \frac{( x ^{3} - 2 )}{x}

\frac{d}{d x} (3 lo g_{10} (x))

\frac{\partial}{\partial x} (\frac{1}{2 x + 4 y ^{2}})

\int_{0}^{3} x^{2} 9 - x^{2} d x

\int \frac{1}{t ^{2} 256 - t ^{2}} d t

What is implicit x^2+11xy+y^2=11 ?
The answer to implicit x^2+11xy+y^2=11 is (dy)/(dx)=(-2x-11y)/(11x+2y)