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Beliebt Rechnen >

(\partial)/(\partial z)(xy+2z)

Lösung

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

Lösung

2

Schritte zur Lösung

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

Behandle

x, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial z} (2 z) = 2

= 0 + 2

Vereinfache

= 2

Beliebte Beispiele

(\partial)/(\partial x)(5xy-18x)

\frac{\partial}{\partial x} (5 x y - 18 x)

derivative of (7x+8(8x-9))

\frac{d}{d x} ((7 x + 8) (8 x - 9))

integral of (sqrt(x^2-225))/x

\int \frac{x ^{2} - 225}{x} d x

y^'=2xsqrt(1-y^2)

y^{^{'}} = 2 x 1 - y^{2}

derivative of (Ax+Be^x)

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