de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of e^{3x}sin(x)

Lösung

\frac{d}{d x} (e^{3 x} sin (x))

Lösung

e^{3 x} \cdot 3 sin (x) + cos (x) e^{3 x}

Schritte zur Lösung

\frac{d}{d x} (e^{3 x} sin (x))

Wende die Produktregel an:

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

f = e^{3 x}, g = sin (x)

= \frac{d}{d x} (e^{3 x}) sin (x) + \frac{d}{d x} (sin (x)) e^{3 x}

\frac{d}{d x} (e^{3 x}) = e^{3 x} \cdot 3

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

= e^{3 x} \cdot 3 sin (x) + cos (x) e^{3 x}

Graph

Beliebte Beispiele

integral of x^2(1-x^3)^4

\int x^{2} (1 - x^{3})^{4} d x

inverselaplace (s^2-2s+3)/((s-2)^3)

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

integral of (5x+3)/(x^2-9)

\int \frac{5 x + 3}{x ^{2} - 9} d x

integral of x^3sin(6x)

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

tangent f(x)=x^2-1/x

t an g e n t f (x) = x^{2} - \frac{1}{x}