de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

d/(dt)(e^{5tsin(2t)})

Lösung

\frac{d}{d t} (e^{5 t s i n (2 t)})

Lösung

e^{5 t s i n (2 t)} \cdot 5 (sin (2 t) + 2 t cos (2 t))

Schritte zur Lösung

\frac{d}{d t} (e^{5 t s i n (2 t)})

Wende die Kettenregel an:

e^{5 t s i n (2 t)} \frac{d}{d t} (5 t sin (2 t))

= e^{5 t s i n (2 t)} \frac{d}{d t} (5 t sin (2 t))

\frac{d}{d t} (5 t sin (2 t)) = 5 (sin (2 t) + 2 t cos (2 t))

= e^{5 t s i n (2 t)} \cdot 5 (sin (2 t) + 2 t cos (2 t))

Graph

Beliebte Beispiele

derivative of e^{ln(x})

\frac{d}{d x} (e^{l n (x)})

derivative sqrt((x^2-1)/(x^2+1))

d er i v a t i v e \frac{x ^{2} - 1}{x ^{2} + 1}

sum from n=2 to infinity of ln(1/n)

n = 2 \sum \infty ln (\frac{1}{n})

inverselaplace 1/(2x^2+x+1)

in v erse l a pl a ce \frac{1}{2 x ^{2} + x + 1}

(dN)/(dt)=5-N,N(2)=2

\frac{d N}{d t} = 5 - N, N (2) = 2