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Popular >

implicit x^2+2y^2=2

Solution

implicit derivative

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

Solution

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

Solution steps

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

Treat

y

as

y (x)

Differentiate both sides:

2 x + 4 y \frac{d y}{d x} = 0

Isolate

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

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

Popular Examples

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\int_{1}^{2} 3 x^{4} ln (x) d x

(\partial)/(\partial x)(y/z)

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

derivative of x^3-5/x+4

\frac{d}{d x} (x^{3} - \frac{5}{x} + 4)

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Frequently Asked Questions (FAQ)

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