(\partial}{\partial x}(\frac{(p(q,x)-cq))/x)

Lösung

\frac{\partial}{\partial x} (\frac{( p ( q , x ) - c q )}{x})

\frac{( \frac{\partial}{\partial x} ( p ( q , x ) ) - 0 ) x - 1 \cdot ( p ( q , x ) - c q )}{x ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{( p ( q , x ) - c q )}{x})

Behandle

c, q

als Konstante

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{\partial}{\partial x} ( p ( q , x ) - c q ) x - \frac{\partial}{\partial x} ( x ) ( p ( q , x ) - c q )}{x ^{2}}

\frac{\partial}{\partial x} (p (q, x) - c q) = \frac{\partial}{\partial x} (p (q, x)) - 0

\frac{\partial}{\partial x} (x) = 1

= \frac{( \frac{\partial}{\partial x} ( p ( q , x ) ) - 0 ) x - 1 \cdot ( p ( q , x ) - c q )}{x ^{2}}

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

l a pl a ce t r an s f or m f (t) = 4 t - 10

\frac{d}{d x} (\frac{x ^{5}}{7})

\frac{d}{d x} (2 x ln (x) + x^{2} - 1)

\int 3 sin^{5} (x) cos^{- \frac{3}{2}} (x) d x