(\partial)/(\partial x)(x^9yz^2+9yz)

Lösung

\frac{\partial}{\partial x} (x^{9} y z^{2} + 9 yz)

9 x^{8} y z^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{9} y z^{2} + 9 yz)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{9} y z^{2}) + \frac{\partial}{\partial x} (9 yz)

\frac{\partial}{\partial x} (x^{9} y z^{2}) = 9 y z^{2} x^{8}

\frac{\partial}{\partial x} (9 yz) = 0

= 9 y z^{2} x^{8} + 0

Vereinfache

= 9 x^{8} y z^{2}

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