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Beliebt Rechnen >

(\partial)/(\partial y)(5xy-10y)

Lösung

\frac{\partial}{\partial y} (5 x y - 10 y)

Lösung

5 x - 10

Schritte zur Lösung

\frac{\partial}{\partial y} (5 x y - 10 y)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (5 x y) - \frac{\partial}{\partial y} (10 y)

\frac{\partial}{\partial y} (5 x y) = 5 x

\frac{\partial}{\partial y} (10 y) = 10

= 5 x - 10

Beliebte Beispiele

integral of 1/(t+1)

\int \frac{1}{t + 1} d t

limit as x approaches infinity of \sqrt[3]{x/(x^2+3)}

x \to \infty lim (3 \frac{x}{x ^{2} + 3})

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\frac{d}{d x} (cos (b x))

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\int k x^{2} d x

taylor x*ln(x),1

t a y l or x \cdot ln (x), 1