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Beliebt Rechnen >

implicit (dy)/(dx),xy+4=x

Lösung

implizite ableitung

\frac{d y}{d x}, x y + 4 = x

Lösung

\frac{d y}{d x} = \frac{1 - y}{x}

Schritte zur Lösung

x y + 4 = x

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

x \frac{d y}{d x} + y = 1

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = \frac{1 - y}{x}

\frac{d y}{d x} = \frac{1 - y}{x}

Beliebte Beispiele

x^2(dy)/(dx)=y-xy,y(-1)=-6

x^{2} \frac{d y}{d x} = y - x y, y (- 1) = - 6

integral from 0 to 1 of 1/(x^{0.3)}

\int_{0}^{1} \frac{1}{x ^{0.3}} d x

derivative of (x+1/(2x+5))

\frac{d}{d x} (\frac{x + 1}{2 x + 5})

limit as x approaches 0+of ((36-4x^2))/x

x \to 0 + lim (\frac{( 36 - 4 x ^{2} )}{x})

derivative of 10sec^2(x)

\frac{d}{d x} (10 sec^{2} (x))