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^{4x}cos(2x)

Lösung

\frac{d}{d x} (e^{4 x} cos (2 x))

Lösung

4 e^{4 x} cos (2 x) - 2 e^{4 x} sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (e^{4 x} cos (2 x))

Wende die Produktregel an:

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

f = e^{4 x}, g = cos (2 x)

= \frac{d}{d x} (e^{4 x}) cos (2 x) + \frac{d}{d x} (cos (2 x)) e^{4 x}

\frac{d}{d x} (e^{4 x}) = e^{4 x} \cdot 4

\frac{d}{d x} (cos (2 x)) = - sin (2 x) \cdot 2

= e^{4 x} \cdot 4 cos (2 x) + (- sin (2 x) \cdot 2) e^{4 x}

Vereinfache

= 4 e^{4 x} cos (2 x) - 2 e^{4 x} sin (2 x)

Graph

Beliebte Beispiele

derivative of kx^x

\frac{d}{d x} (k x^{x})

derivative of (3x+4/(3x-4))

\frac{d}{d x} (\frac{3 x + 4}{3 x - 4})

integral of x^{ln(x)}

\int x^{l n (x)} d x

tangent f(x)=x^2-3x,\at x=-2

t an g e n t f (x) = x^{2} - 3 x, at x = - 2

derivative 1-1/x

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