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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x + 2

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{\partial}{\partial x} (y^{2}) = 0

= 2 x + 2 + 0

Vereinfache

= 2 x + 2

Beliebte Beispiele

derivative f(x)=4x^2-x^3

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

sum from n=1 to infinity of 1/(n+1^{-n)}

5y^{''}+15y^'-20y=0