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Beliebt Rechnen >

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

Lösung

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

Lösung

1

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (x) = 1

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

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

= 1 + 0 + 0

Vereinfache

= 1

Beliebte Beispiele

integral of (4-x^2)^2

\int (4 - x^{2})^{2} d x

integral from 2 to 4 of (6+u^2)/(u^3)

\int_{2}^{4} \frac{6 + u ^{2}}{u ^{3}} d u

limit as x approaches 4 of 2x+1

x \to 4 lim (2 x + 1)

d/(dy)(e^{y^2})

\frac{d}{d y} (e^{y^{2}})

fläche 4-x^2,0,2

a re a 4 - x^{2}, 0, 2