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Beliebt Rechnen >

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

Lösung

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

Lösung

2

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 2 + 0 - 0

Vereinfache

= 2

Beliebte Beispiele

derivative of ae^x+b

\frac{d}{d x} (a e^{x} + b)

(\partial)/(\partial y)(xye^{-2y})

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

y^{'''}-2y^{''}-48y^'=0

y^{^{'''}} - 2 y^{^{''}} - 48 y^{^{'}} = 0

(\partial)/(\partial x)(x^2-3y^2+7)

\frac{\partial}{\partial x} (x^{2} - 3 y^{2} + 7)

y^{^{'}} + y = 5