(\partial)/(\partial x)(2e^{7x})

Lösung

\frac{\partial}{\partial x} (2 e^{7 x})

14 e^{7 x}

Schritte zur Lösung

\frac{\partial}{\partial x} (2 e^{7 x})

Entferne die Konstante:

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

= 2 \frac{\partial}{\partial x} (e^{7 x})

Wende die Kettenregel an:

e^{7 x} \frac{\partial}{\partial x} (7 x)

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

\frac{\partial}{\partial x} (7 x) = 7

= 2 e^{7 x} \cdot 7

Vereinfache

= 14 e^{7 x}

\int 21 z^{3} e^{z} d z

\int_{0}^{2} y^{3} d y

\frac{\partial}{\partial x} (\frac{z}{y + z})

n = 0 \sum \infty (1 - x)^{n}

\frac{\partial}{\partial x} (ln (3 x + 6 y + 9 t))