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Beliebt Rechnen >

(\partial)/(\partial x)(sin(x+e^y))

Lösung

\frac{\partial}{\partial x} (sin (x + e^{y}))

Lösung

cos (x + e^{y})

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (x + e^{y}))

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (x + e^{y}) = 1

= cos (x + e^{y}) \cdot 1

Vereinfache

= cos (x + e^{y})

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