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

Lösung

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

- \frac{3}{z}

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Entferne die Konstante:

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

= \frac{1}{z} \frac{\partial}{\partial x} (y - 3 x)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{z} (\frac{\partial}{\partial x} (y) - \frac{\partial}{\partial x} (3 x))

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

\frac{\partial}{\partial x} (3 x) = 3

= \frac{1}{z} (0 - 3)

Vereinfache

\frac{1}{z} (0 - 3) : - \frac{3}{z}

= - \frac{3}{z}

x \to 1 - lim (2 x + 3)

x \to 1 lim (\frac{4 - 4 x}{x - 1})

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

\int \frac{x ^{7} + 3 x ^{5} - 2 x ^{3} - 4}{x ^{3}} d x

\frac{d}{d x} (\frac{e ^{1 - c o s (x)}}{cos ( x )})