de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 0.09e^xsin(x)

Lösung

ableitung von

0.09 e^{x} sin (x)

Lösung

0.09 (e^{x} sin (x) + cos (x) e^{x})

Schritte zur Lösung

\frac{d}{d x} (0.09 e^{x} sin (x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 0.09 \frac{d}{d x} (e^{x} sin (x))

Wende die Produktregel an:

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

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

= 0.09 (\frac{d}{d x} (e^{x}) sin (x) + \frac{d}{d x} (sin (x)) e^{x})

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

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

= 0.09 (e^{x} sin (x) + cos (x) e^{x})

Graph

Beliebte Beispiele

integral from 1 to 4 of sqrt(x)ln(x)

\int_{1}^{4} x ln (x) d x

derivative of \sqrt[7]{x^4}

\frac{d}{d x} (7 x^{4})

integral of (e^x-1)

\int (e^{x} - 1) d x

integral from 0 to 1 of (1+12x)/(1+3x)

\int_{0}^{1} \frac{1 + 12 x}{1 + 3 x} d x

derivative of x^2-3x+1

\frac{d}{d x} (x^{2} - 3 x + 1)