derivative e^tsin(t)

Lösung

ableitung von

e^{t} sin (t)

e^{t} sin (t) + cos (t) e^{t}

Schritte zur Lösung

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

Wende die Produktregel an:

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

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

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

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

\frac{d}{d t} (sin (t)) = cos (t)

= e^{t} sin (t) + cos (t) e^{t}

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

n = 8 \sum \infty e^{5 - 6 n}

\int_{0}^{\frac{3}{2}} cos (π x) d x

y^{^{'}} = e^{x}

\frac{\partial}{\partial y} (\frac{4 y}{x})