(\partial)/(\partial L)({K}(α)(α)^αL^{1-α})

Lösung

\frac{\partial}{\partial L} (K (α) (α)^{α} L^{1 - α})

L^{- α} α^{α} K (α) (1 - α)

Schritte zur Lösung

\frac{\partial}{\partial L} (K (α) (α)^{α} L^{1 - α})

Behandle

α

als Konstante

Entferne die Konstante:

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

= K (α) α^{α} \frac{\partial}{\partial L} (L^{1 - α})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= K (α) α^{α} (1 - α) L^{1 - α - 1}

Vereinfache

= L^{- α} α^{α} K (α) (1 - α)

y^{^{'}} + 4 y = 0

n = 1 \sum \infty 8 (\frac{7}{8})^{n}

\int 18 x^{2} (6 x^{3} + 5)^{\frac{1}{2}} d x

\int tan^{2} (x) (sec^{2} (x) - 1) d x

\frac{d}{d x} ((x^{3} + x)^{\frac{3}{2}})