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Beliebt Rechnen >

(\partial)/(\partial x)(xyz^2-18)

Lösung

\frac{\partial}{\partial x} (x y z^{2} - 18)

Lösung

y z^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (x y z^{2} - 18)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x y z^{2}) - \frac{\partial}{\partial x} (18)

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

\frac{\partial}{\partial x} (18) = 0

= y z^{2} - 0

Vereinfache

= y z^{2}

Beliebte Beispiele

limit as x approaches 0 of (x^2+8)/(x-1)

x \to 0 lim (\frac{x ^{2} + 8}{x - 1})

derivative of (3x-1(2x+5))

\frac{d}{d x} ((3 x - 1) (2 x + 5))

x^{''}-14x^'+49x=4te^{7t}

x^{^{''}} - 14 x^{^{'}} + 49 x = 4 t e^{7 t}

t an g e n t x^{3} + 4 x

(\partial)/(\partial y)(x^2-x+{g}(y))

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