d/(dy)((x)(x+y^2))

Lösung

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

2 x y

Schritte zur Lösung

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

Behandle

x

als Konstante

Entferne die Konstante:

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

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d x}{d y} = 0

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

= x (0 + 2 y)

Vereinfache

= 2 x y

e x p an d (5 - 3 sin (θ))^{2}

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e x p an d (4 - x - 1) (12 - x + 3)

e x p an d (5 + 7) \cdot π

e x p an d \frac{x ( x - 1 )}{( x + 3 ) ( x - 2 )}