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Beliebt Rechnen >

(\partial)/(\partial y)(3x^2+2xy)

Lösung

\frac{\partial}{\partial y} (3 x^{2} + 2 x y)

Lösung

2 x

Schritte zur Lösung

\frac{\partial}{\partial y} (3 x^{2} + 2 x y)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (3 x^{2}) + \frac{\partial}{\partial y} (2 x y)

\frac{\partial}{\partial y} (3 x^{2}) = 0

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

= 0 + 2 x

Vereinfache

= 2 x

Beliebte Beispiele

d/(da)(sin^3(a)+cos^3(a))

\frac{d}{d a} (sin^{3} (a) + cos^{3} (a))

tangent f(x)= 1/(5+2x),(2, 1/9)

t an g e n t f (x) = \frac{1}{5 + 2 x}, (2, \frac{1}{9})

f (x) = 3 x^{2} - 2

integral of (3y^4+3y^2-1)/(y^3+y)

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