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Beliebt Rechnen >

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

Lösung

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

Lösung

x + 2 y + 1

Schritte zur Lösung

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

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} (y)

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

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

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

= x + 2 y + 1

Beliebte Beispiele

tangent f(x)= 2/(sqrt(x)),\at (1/9)

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

integral of xarctan(4x)

\int x arctan (4 x) d x

tangent x^2-4x+1

t an g e n t x^{2} - 4 x + 1

integral of sin(x)cos^6(x)

\int sin (x) cos^{6} (x) d x

limit as x approaches 0 of cos^2(x)

x \to 0 lim (cos^{2} (x))