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Beliebt Rechnen >

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

Lösung

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

Lösung

4 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 4 x + 0

Vereinfache

= 4 x

Beliebte Beispiele

(\partial)/(\partial x)(1/x)

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

derivative of (sin^2(x)/(x^2))

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

derivative of 3^{3x}

\frac{d}{d x} (3^{3 x})

(\partial)/(\partial x)(2e^{x^9y})

\frac{\partial}{\partial x} (2 e^{x^{9} y})

derivative ((x+9)/(x-9))^5

d er i v a t i v e (\frac{x + 9}{x - 9})^{5}