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Beliebt Rechnen >

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

Lösung

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

Lösung

- \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}

Beliebte Beispiele

integral from 2 to 7 of 1/(x^2-1)

\int_{2}^{7} \frac{1}{x ^{2} - 1} d x

tangent y=(6x)/(x+2)

t an g e n t y = \frac{6 x}{x + 2}

derivative of (1+5x(1-7x))

\frac{d}{d x} ((1 + 5 x) (1 - 7 x))

derivative of (log_{e}(x)^x)

\frac{d}{d x} ((lo g_{e} (x))^{x})

y^{''}+7y^'+10y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 7 y^{^{'}} + 10 y = 0, y (0) = 1, y^{^{'}} (0) = 0