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Beliebt Rechnen >

derivative of sqrt(x-y)

Lösung

\frac{d}{d x} (x - y)

Lösung

\frac{1 - \frac{d y}{d x}}{2 x - y}

Schritte zur Lösung

\frac{d}{d x} (x - y)

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{2 x - y} (1 - \frac{d y}{d x}) : \frac{1 - \frac{d y}{d x}}{2 x - y}

= \frac{1 - \frac{d y}{d x}}{2 x - y}

Beliebte Beispiele

integral of x^3sqrt(x^2+38)

\int x^{3} x^{2} + 38 d x

derivative of Axe^x

\frac{d}{d x} (A x e^{x})

steigung (-1,2),(3,-3)

s l o p e (- 1, 2), (3, - 3)

derivative of 2*ln(x)

\frac{d}{d x} (2 \cdot ln (x))

derivative sin^3(x)

d er i v a t i v e sin^{3} (x)