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Beliebt Rechnen >

implicit (dy)/(dx),4x^2+6y^2=24x

Lösung

implizite ableitung

\frac{d y}{d x}, 4 x^{2} + 6 y^{2} = 24 x

Lösung

\frac{d y}{d x} = \frac{2 ( - x + 3 )}{3 y}

Schritte zur Lösung

4 x^{2} + 6 y^{2} = 24 x

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

8 x + 12 y \frac{d y}{d x} = 24

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = \frac{2 ( - x + 3 )}{3 y}

\frac{d y}{d x} = \frac{2 ( - x + 3 )}{3 y}

Beliebte Beispiele

integral of (x-3)^6

\int (x - 3)^{6} d x

derivative of (a-bx^2)

\frac{d}{d x} ((a - b x)^{2})

derivative of 3f(x+2x)x=5

\frac{d}{d x} (3 f (x) + 2 x) x = 5

derivative of (x+7/(8x^2e^x))

\frac{d}{d x} (\frac{x + 7}{8 x ^{2} e ^{x}})

integral of (4-e^{2x})/(e^{2x)}

\int \frac{4 - e ^{2 x}}{e ^{2 x}} d x