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Beliebt Rechnen >

(\partial)/(\partial y)(x*y+y^2)

Lösung

\frac{\partial}{\partial y} (x \cdot y + y^{2})

Lösung

x + 2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= x + 2 y

Beliebte Beispiele

integral of cos(x)-1

\int cos (x) - 1 d x

tangent f(x)=2xe^x,\at x=0

t an g e n t f (x) = 2 x e^{x}, at x = 0

(\partial)/(\partial x)(4ln(xy)+3ln(yz)+ln(xz))

\frac{\partial}{\partial x} (4 ln (x y) + 3 ln (yz) + ln (x z))

fläche x=y^2-4y,x=y-y^2

a re a x = y^{2} - 4 y, x = y - y^{2}

2y^{''}-15y^'-8y=0

2 y^{^{''}} - 15 y^{^{'}} - 8 y = 0