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Popular >

implicit x^2+y^2=2

Solution

implicit derivative

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

Solution

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

Solution steps

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

Treat

y

as

y (x)

Differentiate both sides:

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

Isolate

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

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

Popular Examples

(\partial)/(\partial x)(3x(4+y)^{-1})

\frac{\partial}{\partial x} (3 x (4 + y)^{- 1})

integral from 0 to 6 of 1/(sqrt(36+x^2))

\int_{0}^{6} \frac{1}{36 + x ^{2}} d x

(\partial)/(\partial x)(e^{3y})

\frac{\partial}{\partial x} (e^{3 y})

integral of z/(z^4+4)

\int \frac{z}{z ^{4} + 4} d z

y^{''}+4y^'+3=0

y^{^{''}} + 4 y^{^{'}} + 3 = 0

Frequently Asked Questions (FAQ)

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