(\partial)/(\partial x)(2e^{x^8y})

Lösung

\frac{\partial}{\partial x} (2 e^{x^{8} y})

16 e^{x^{8} y} x^{7} y

Schritte zur Lösung

\frac{\partial}{\partial x} (2 e^{x^{8} y})

Behandle

y

als Konstante

Entferne die Konstante:

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

= 2 \frac{\partial}{\partial x} (e^{x^{8} y})

Wende die Kettenregel an:

e^{x^{8} y} \frac{\partial}{\partial x} (x^{8} y)

= e^{x^{8} y} \frac{\partial}{\partial x} (x^{8} y)

\frac{\partial}{\partial x} (x^{8} y) = 8 y x^{7}

= 2 e^{x^{8} y} \cdot 8 y x^{7}

Vereinfache

= 16 e^{x^{8} y} x^{7} y

x \to 0 lim (x cos (\frac{9}{x}))

\frac{d ^{2}}{d x ^{2}} (\frac{7}{8 t ^{5}})

x \to 1 - lim (x - 2)

a re a y = 1 + x, y = \frac{( 3 + x )}{3}

\int 6 - x d x