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Beliebt Rechnen >

(\partial)/(\partial y)(xy+z)

Lösung

\frac{\partial}{\partial y} (x y + z)

Lösung

x

Schritte zur Lösung

\frac{\partial}{\partial y} (x y + z)

Behandle

x, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial y} (z) = 0

= x + 0

Vereinfache

= x

Beliebte Beispiele

derivative y=x^2ln(7x)

d er i v a t i v e y = x^{2} ln (7 x)

limit as a approaches infinity of a^2

a \to \infty lim (a^{2})

integral of t^2e^{4t}

\int t^{2} e^{4 t} d t

integral of 9xe^{6x}

\int 9 x e^{6 x} d x

(dy)/(dx)=4+e^{y-4x+5}

\frac{d y}{d x} = 4 + e^{y - 4 x + 5}