de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

d/(dy)((x)(e^x))

Lösung

\frac{d}{d y} ((y) (e^{y}))

Lösung

e^{y} + e^{y} y

Schritte zur Lösung

\frac{d}{d y} ((y) (e^{y}))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = y, g = e^{y}

= \frac{d y}{d y} e^{y} + \frac{d}{d y} (e^{y}) y

\frac{d y}{d y} = 1

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

= 1 \cdot e^{y} + e^{y} y

Vereinfache

= e^{y} + e^{y} y

Graph

Beliebte Beispiele

f(t)=-3t^3-2t+1

f (t) = - 3 t^{3} - 2 t + 1

faktorisieren (x+1)^2-2

f a c t or (x + 1)^{2} - 2

faktorisieren sin(c)(10t)

f a c t or sin (c) (10 t)

faktorisieren (x+3)^2-2(x+3)-24

f a c t or (x + 3)^{2} - 2 (x + 3) - 24

faktorisieren 24e^2-28e-12

f a c t or 24 e^{2} - 28 e - 12