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Beliebt Rechnen >

(\partial)/(\partial x)(4-2y+4xy)

Lösung

\frac{\partial}{\partial x} (4 - 2 y + 4 x y)

Lösung

4 y

Schritte zur Lösung

\frac{\partial}{\partial x} (4 - 2 y + 4 x y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4) - \frac{\partial}{\partial x} (2 y) + \frac{\partial}{\partial x} (4 x y)

\frac{\partial}{\partial x} (4) = 0

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

\frac{\partial}{\partial x} (4 x y) = 4 y

= 0 - 0 + 4 y

Vereinfache

= 4 y

Beliebte Beispiele

integral of (sqrt(x)+1/(sqrt(x)))

\int (x + \frac{1}{x}) d x

(d^2)/(dx^2)((3x-2)/(2x+5))

\frac{d ^{2}}{d x ^{2}} (\frac{3 x - 2}{2 x + 5})

limit as θ approaches 0 of (sin(θ))/θ

θ \to 0 lim (\frac{sin ( θ )}{θ})

derivative of ln(x+10)

\frac{d}{d x} (ln (x + 10))

derivative e^{-3x}+e^{4x}

d er i v a t i v e e^{- 3 x} + e^{4 x}