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Beliebt Rechnen >

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

Lösung

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

Lösung

1

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 1 - 0 + 0

Vereinfache

= 1

Beliebte Beispiele

tangent y=-3x^2+2

t an g e n t y = - 3 x^{2} + 2

limit as x approaches 0 of (5x)/(tan(x))

x \to 0 lim (\frac{5 x}{tan ( x )})

integral of 2+tan^2(θ)

\int 2 + tan^{2} (θ) d θ

derivative of (x^3/7)

\frac{d}{d x} (\frac{x ^{3}}{7})

(\partial)/(\partial x)(xy^2e^{-xz})

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