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Beliebt Rechnen >

(\partial)/(\partial x)(e^{4x}cos(7y))

Lösung

\frac{\partial}{\partial x} (e^{4 x} cos (7 y))

Lösung

cos (7 y) e^{4 x} \cdot 4

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{4 x} cos (7 y))

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= cos (7 y) \frac{\partial}{\partial x} (e^{4 x})

Wende die Kettenregel an:

e^{4 x} \frac{\partial}{\partial x} (4 x)

= e^{4 x} \frac{\partial}{\partial x} (4 x)

\frac{\partial}{\partial x} (4 x) = 4

= cos (7 y) e^{4 x} \cdot 4

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