(\partial)/(\partial x)(z^3-x^2y)

Lösung

\frac{\partial}{\partial x} (z^{3} - x^{2} y)

- 2 x y

Schritte zur Lösung

\frac{\partial}{\partial x} (z^{3} - x^{2} y)

Behandle

z, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (z^{3}) - \frac{\partial}{\partial x} (x^{2} y)

\frac{\partial}{\partial x} (z^{3}) = 0

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

= 0 - 2 y x

Vereinfache

= - 2 x y

\int (7 - 3 x - 9 x^{2}) d x

\frac{d}{d x} (\frac{2 x ^{2} + 1}{x ^{2} + 7})

\frac{d}{d x} (sin (cos (2 x)))

n = 1 \sum \infty \frac{1}{5 ^{n - 1}}

\frac{\partial}{\partial x} (cos (y - x))