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Beliebt Rechnen >

(\partial)/(\partial z)(2x+z^2)

Lösung

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

Lösung

2 z

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial z} (2 x) = 0

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

= 0 + 2 z

Vereinfache

= 2 z

Beliebte Beispiele

limit as x approaches 0 of (x+h)^2-1

x \to 0 lim ((x + h)^{2} - 1)

integral of ln(2x-1)

\int ln (2 x - 1) d x

derivative of 2x^3-3x

\frac{d}{d x} (2 x^{3} - 3 x)

derivative of arcsin(y/(sqrt(x^2+y^2)))

\frac{d}{d x} (arcsin (\frac{y}{x ^{2} + y ^{2}}))

integral of (3x-4)/(x^2-2x)

\int \frac{3 x - 4}{x ^{2} - 2 x} d x