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Beliebt Rechnen >

implicit 8x^2+7y^2=56

Lösung

implizite ableitung

8 x^{2} + 7 y^{2} = 56

Lösung

\frac{d y}{d x} = - \frac{8 x}{7 y}

Schritte zur Lösung

8 x^{2} + 7 y^{2} = 56

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

16 x + 14 y \frac{d y}{d x} = 0

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{8 x}{7 y}

\frac{d y}{d x} = - \frac{8 x}{7 y}

Beliebte Beispiele

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

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

(\partial)/(\partial y)((x^3+2y^2)^3)

\frac{\partial}{\partial y} ((x^{3} + 2 y^{2})^{3})

f(x)=(cot(x))/(1+cot(x))

f (x) = \frac{cot ( x )}{1 + cot ( x )}

(1+e^t)y^'+e^ty=0

(1 + e^{t}) y^{^{'}} + e^{t} y = 0

integral of (e^{1/t})/(t^3)

\int \frac{e ^{\frac{1}{t}}}{t ^{3}} d t