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Beliebt Rechnen >

(\partial)/(\partial x)(((1+x))/(1+y)z^2)

Lösung

\frac{\partial}{\partial x} (\frac{( 1 + x )}{1 + y} z^{2})

Lösung

\frac{z ^{2}}{1 + y}

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{( 1 + x )}{1 + y} z^{2})

Behandle

y, z

als Konstanten

Entferne die Konstante:

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

= \frac{1}{1 + y} z^{2} \frac{\partial}{\partial x} (1 + x)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{1 + y} z^{2} (\frac{\partial}{\partial x} (1) + \frac{\partial}{\partial x} (x))

\frac{\partial}{\partial x} (1) = 0

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

= \frac{1}{1 + y} z^{2} (0 + 1)

Vereinfache

\frac{1}{1 + y} z^{2} (0 + 1) : \frac{z ^{2}}{1 + y}

= \frac{z ^{2}}{1 + y}

Beliebte Beispiele

y^{''}-2y^'-35y=0

y^{^{''}} - 2 y^{^{'}} - 35 y = 0

integral of (x^2)/(sqrt(16+x^6))

\int \frac{x ^{2}}{16 + x ^{6}} d x

integral of ((1+x^2)^{1/2})/x

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

limit as x approaches+pi of xcos((7x)/6)

x \to + π lim (x cos (\frac{7 x}{6}))

integral of 2xyze^{x^2}

\int 2 x yz e^{x^{2}} d x