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Beliebt Rechnen >

(\partial}{\partial x}(\frac{x^2)/y-xz)

Lösung

\frac{\partial}{\partial x} (\frac{x ^{2}}{y} - x z)

Lösung

\frac{2 x}{y} - z

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{x ^{2}}{y} - x z)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (\frac{x ^{2}}{y}) - \frac{\partial}{\partial x} (x z)

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

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

= \frac{2 x}{y} - z

Beliebte Beispiele

(\partial)/(\partial y)(2ln(3x)-4ln(2xy))

\frac{\partial}{\partial y} (2 ln (3 x) - 4 ln (2 x y))

derivative 3/(x^3)

d er i v a t i v e \frac{3}{x ^{3}}

integral of 15x^4

\int 15 x^{4} d x

inverselaplace 3/(s^2-4)

in v erse l a pl a ce \frac{3}{s ^{2} - 4}

derivative of x^{\sqrt[3]{ln(x}})

\frac{d}{d x} (x^{3 l n (x)})