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Beliebt Rechnen >

implicit (dy)/(dx),xe^y-10x+3y=0

Lösung

implizite ableitung

\frac{d y}{d x}, x e^{y} - 10 x + 3 y = 0

Lösung

\frac{d y}{d x} = \frac{- e ^{y} + 10}{e ^{y} x + 3}

Schritte zur Lösung

x e^{y} - 10 x + 3 y = 0

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

e^{y} + e^{y} x \frac{d y}{d x} - 10 + 3 \frac{d y}{d x} = 0

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = \frac{- e ^{y} + 10}{e ^{y} x + 3}

\frac{d y}{d x} = \frac{- e ^{y} + 10}{e ^{y} x + 3}

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