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Beliebt Rechnen >

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

Lösung

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

Lösung

2

Schritte zur Lösung

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

Behandle

x, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 0 + 2 + 0

Vereinfache

= 2

Beliebte Beispiele

integral of x^2e^{-1}

\int x^{2} e^{- 1} d x

integral of ((x^2-4x+9))/(x^2-6x+9)

\int \frac{( x ^{2} - 4 x + 9 )}{x ^{2} - 6 x + 9} d x

inverselaplace ((3s+7))/(s^2+2s+4)

in v erse l a pl a ce \frac{( 3 s + 7 )}{s ^{2} + 2 s + 4}

derivative f(x)=-3x^2

d er i v a t i v e f (x) = - 3 x^{2}

tangent x^2+x,\at x=3

t an g e n t x^{2} + x, at x = 3