de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(t)=e^{4tsin(2t)}

Lösung

ableitung von

f (t) = e^{4 t s i n (2 t)}

Lösung

e^{4 t s i n (2 t)} \cdot 4 (sin (2 t) + 2 t cos (2 t))

Schritte zur Lösung

\frac{d}{d t} (e^{4 t s i n (2 t)})

Wende die Kettenregel an:

e^{4 t s i n (2 t)} \frac{d}{d t} (4 t sin (2 t))

= e^{4 t s i n (2 t)} \frac{d}{d t} (4 t sin (2 t))

\frac{d}{d t} (4 t sin (2 t)) = 4 (sin (2 t) + 2 t cos (2 t))

= e^{4 t s i n (2 t)} \cdot 4 (sin (2 t) + 2 t cos (2 t))

Graph

Beliebte Beispiele

integral of (sin(2x))/(x^2)

\int \frac{sin ( 2 x )}{x ^{2}} d x

integral of x^3ln(6x)

\int x^{3} ln (6 x) d x

integral of (y-1)/(y+4)

\int \frac{y - 1}{y + 4} d y

integral of 8sec^3(6x)

\int 8 sec^{3} (6 x) d x

(\partial)/(\partial x)(3e^{2x}-5ln(y)+7)

\frac{\partial}{\partial x} (3 e^{2 x} - 5 ln (y) + 7)