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Beliebt Rechnen >

implicit (dy)/(dx),7xy+1=0

Lösung

implizite ableitung

\frac{d y}{d x}, 7 x y + 1 = 0

Lösung

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

Schritte zur Lösung

7 x y + 1 = 0

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

7 (x \frac{d y}{d x} + y) = 0

Isoliere

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

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

Beliebte Beispiele

derivative of 9^xln(x)

\frac{d}{d x} (9^{x} ln (x))

limit as x approaches infinity of x+2/x

x \to \infty lim (x + \frac{2}{x})

limit as x approaches 4 of 5x

x \to 4 lim (5 x)

derivative (sqrt(s)-1)/(sqrt(s)+3)

d er i v a t i v e \frac{s - 1}{s + 3}

derivative of (y^3/(x^2))

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