d/(dt)({p}(t)e^t)

Lösung

\frac{d}{d t} (p (t) e^{t})

\frac{d}{d t} (p (t)) e^{t} + e^{t} p (t)

Schritte zur Lösung

\frac{d}{d t} (p (t) e^{t})

Wende die Produktregel an:

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

f = p (t), g = e^{t}

= \frac{d}{d t} (p (t)) e^{t} + \frac{d}{d t} (e^{t}) p (t)

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

= \frac{d}{d t} (p (t)) e^{t} + e^{t} p (t)

n or ma l y = 5 + 1 - x, (- 8, 8)

\int_{0}^{12} 2 π y (144 - y^{2}) d y

\int cos (x) sec (x) sin (x) d x

\frac{d}{d x} (1 + x e^{x})

in v erse l a pl a ce \frac{3 s + 2}{( s + 1 ) ^{3}}