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Beliebt Rechnen >

(\partial)/(\partial x)((x^2+9x-4y)^6)

Lösung

\frac{\partial}{\partial x} ((x^{2} + 9 x - 4 y)^{6})

Lösung

6 (x^{2} + 9 x - 4 y)^{5} (2 x + 9)

Schritte zur Lösung

\frac{\partial}{\partial x} ((x^{2} + 9 x - 4 y)^{6})

Behandle

y

als Konstante

Wende die Kettenregel an:

6 (x^{2} + 9 x - 4 y)^{5} \frac{\partial}{\partial x} (x^{2} + 9 x - 4 y)

= 6 (x^{2} + 9 x - 4 y)^{5} \frac{\partial}{\partial x} (x^{2} + 9 x - 4 y)

\frac{\partial}{\partial x} (x^{2} + 9 x - 4 y) = 2 x + 9

= 6 (x^{2} + 9 x - 4 y)^{5} (2 x + 9)

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