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Beliebt Rechnen >

(\partial)/(\partial x)(3x^2y^4+3)

Lösung

\frac{\partial}{\partial x} (3 x^{2} y^{4} + 3)

Lösung

6 x y^{4}

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x^{2} y^{4} + 3)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 x^{2} y^{4}) + \frac{\partial}{\partial x} (3)

\frac{\partial}{\partial x} (3 x^{2} y^{4}) = 6 y^{4} x

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

= 6 y^{4} x + 0

Vereinfache

= 6 x y^{4}

Beliebte Beispiele

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f (x) = \frac{cos ( 2 x ) ln ( x )}{x - 5}

integral of x*e^{6x}

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\int x^{2} - 5 x d x

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\int_{0}^{\infty} 4 sin^{2} (x) d x