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Beliebt Rechnen >

(\partial)/(\partial y)(6y^2)

Lösung

\frac{\partial}{\partial y} (6 y^{2})

Lösung

12 y

Schritte zur Lösung

\frac{\partial}{\partial y} (6 y^{2})

Entferne die Konstante:

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

= 6 \frac{\partial}{\partial y} (y^{2})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 6 \cdot 2 y^{2 - 1}

Vereinfache

= 12 y

Beliebte Beispiele

integral of e^{-st}*sin(2t)

\int e^{- s t} \cdot sin (2 t) d t

limit as x approaches (5pi)/2 of e^{tan(x)}

x \to \frac{5 π}{2} lim (e^{t a n (x)})

fläche y=0,y=sqrt(x),y=x-2

a re a y = 0, y = x, y = x - 2

(\partial)/(\partial x)((3x-1)^2(x^3+1)^2)

\frac{\partial}{\partial x} ((3 x - 1)^{2} (x^{3} + 1)^{2})

derivative y=(x+3)^3

d er i v a t i v e y = (x + 3)^{3}