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Beliebt Rechnen >

implicit x^2+8y^2=8

Lösung

implizite ableitung

x^{2} + 8 y^{2} = 8

Lösung

\frac{d y}{d x} = - \frac{x}{8 y}

Schritte zur Lösung

x^{2} + 8 y^{2} = 8

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

2 x + 16 y \frac{d y}{d x} = 0

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{x}{8 y}

\frac{d y}{d x} = - \frac{x}{8 y}

Beliebte Beispiele

integral from 0 to 3 of 1/((x+2)^4)

\int_{0}^{3} \frac{1}{( x + 2 ) ^{4}} d x

(\partial)/(\partial x)(sin(x)y^2)

\frac{\partial}{\partial x} (sin (x) y^{2})

derivative of 3x^2y^3

\frac{d}{d x} (3 x^{2} y^{3})

derivative of x^2(2x-1^4)

\frac{d}{d x} (x^{2} (2 x - 1)^{4})

derivative of 2^{5x}

\frac{d}{d x} (2^{5 x})