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Beliebt Rechnen >

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

Lösung

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

Lösung

6 y x^{2} - sin (x^{2}) \cdot 2 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (cos (x^{2})) = - sin (x^{2}) \cdot 2 x

= 6 y x^{2} - sin (x^{2}) \cdot 2 x

Beliebte Beispiele

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\int (2 x + 5) e^{x} d x

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