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Beliebt Rechnen >

(\partial)/(\partial y)(2sqrt(xy))

Lösung

\frac{\partial}{\partial y} (2 x y)

Lösung

\frac{x}{y}

Schritte zur Lösung

\frac{\partial}{\partial y} (2 x y)

Behandle

x

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{\partial}{\partial y} (x y)

Wende die Kettenregel an:

\frac{1}{2 x y} \frac{\partial}{\partial y} (x y)

= \frac{1}{2 x y} \frac{\partial}{\partial y} (x y)

\frac{\partial}{\partial y} (x y) = x

= 2 \cdot \frac{1}{2 x y} x

Vereinfache

2 \cdot \frac{1}{2 x y} x : \frac{x}{y}

= \frac{x}{y}

Beliebte Beispiele

integral from-2pi to 2pi of sin^2(x)+1

\int_{- 2 π}^{2 π} sin^{2} (x) + 1 d x

integral from 1 to 2 of-(5ln(x))/(x^2)

\int_{1}^{2} - \frac{5 ln ( x )}{x ^{2}} d x

integral of (-5)/x

\int \frac{- 5}{x} d x

integral of x^{-6}(x+1)

\int x^{- 6} (x + 1) d x

y^{''}-9y^'+18y=2sin(5t)

y^{^{''}} - 9 y^{^{'}} + 18 y = 2 sin (5 t)