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Beliebt Rechnen >

(\partial}{\partial u}(\frac{v+u)/2)

Lösung

\frac{\partial}{\partial u} (\frac{v + u}{2})

Lösung

\frac{1}{2}

+1

Dezimale

0.5

Schritte zur Lösung

\frac{\partial}{\partial u} (\frac{v + u}{2})

Behandle

v

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{2} \frac{\partial}{\partial u} (v + u)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{2} (\frac{\partial}{\partial u} (v) + \frac{\partial}{\partial u} (u))

\frac{\partial}{\partial u} (v) = 0

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

= \frac{1}{2} (0 + 1)

Vereinfache

= \frac{1}{2}

Beliebte Beispiele

derivative of 3x^3y

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

integral from 0 to 3 of 1/(sqrt(x))

\int_{0}^{3} \frac{1}{x} d x

integral from 0 to t of xe^{-x}

\int_{0}^{t} x e^{- x} d x

xy^'-y=2x^2-2x-2

x y^{^{'}} - y = 2 x^{2} - 2 x - 2

xy^'-y=x,y(1)=10

x y^{^{'}} - y = x, y (1) = 10