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Beliebt Rechnen >

(\partial)/(\partial x)(xy^2+2x^2z)

Lösung

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

Lösung

y^{2} + 4 z x

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (2 x^{2} z) = 4 z x

= y^{2} + 4 z x

Beliebte Beispiele

integral of (x^4-5x^3+7x)/x

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

limit as x approaches 6 of (g(x))/(f(x))

x \to 6 lim (\frac{g ( x )}{f ( x )})

integral of (cos^2(x))/(sin^2(x))

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

derivative of 7x^2-5x+3

\frac{d}{d x} (7 x^{2} - 5 x + 3)

derivative ((3e^{3x}))/3

d er i v a t i v e \frac{( 3 e ^{3 x} )}{3}