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^xsin^2(x)

Lösung

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

Lösung

e^{x} sin^{2} (x) + sin (2 x) e^{x}

Schritte zur Lösung

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

Wende die Produktregel an:

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

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

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

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

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

= e^{x} sin^{2} (x) + sin (2 x) e^{x}

Graph

Beliebte Beispiele

integral of 4/175 x^3

\int \frac{4}{175} x^{3} d x

derivative of cos(tan(7x))

\frac{d}{d x} (cos (tan (7 x)))

derivative of xsqrt(3+x^2)

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

derivative tan(x)-sin(x)

d er i v a t i v e tan (x) - sin (x)

(\partial)/(\partial x)(ln(x+8y+7z))

\frac{\partial}{\partial x} (ln (x + 8 y + 7 z))