(\partial)/(\partial x)(5tan(5x))

Lösung

\frac{\partial}{\partial x} (5 tan (5 x))

25 sec^{2} (5 x)

Schritte zur Lösung

\frac{\partial}{\partial x} (5 tan (5 x))

Entferne die Konstante:

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

= 5 \frac{\partial}{\partial x} (tan (5 x))

Wende die Kettenregel an:

sec^{2} (5 x) \frac{\partial}{\partial x} (5 x)

= sec^{2} (5 x) \frac{\partial}{\partial x} (5 x)

\frac{\partial}{\partial x} (5 x) = 5

= 5 sec^{2} (5 x) \cdot 5

Vereinfache

= 25 sec^{2} (5 x)

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