(\partial)/(\partial x)(16x-4y-6yx)

Lösung

\frac{\partial}{\partial x} (16 x - 4 y - 6 y x)

- 6 y + 16

Schritte zur Lösung

\frac{\partial}{\partial x} (16 x - 4 y - 6 y x)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (16 x) - \frac{\partial}{\partial x} (4 y) - \frac{\partial}{\partial x} (6 y x)

\frac{\partial}{\partial x} (16 x) = 16

\frac{\partial}{\partial x} (4 y) = 0

\frac{\partial}{\partial x} (6 y x) = 6 y

= 16 - 0 - 6 y

Vereinfache

= - 6 y + 16

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f (x) = (x + 9)^{\frac{1}{2}}

d er i v a t i v e f (x) = - x^{2} - x

\frac{d}{d x} ((ln (8))^{x})

\frac{\partial}{\partial x} (sin^{6} (3 x - 4 y))