de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of x^6{f}(x)

Lösung

\frac{d}{d x} (x^{6} f (x))

Lösung

6 x^{5} f (x) + \frac{d}{d x} (f (x)) x^{6}

Schritte zur Lösung

\frac{d}{d x} (x^{6} f (x))

Wende die Produktregel an:

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

f = x^{6}, g = f (x)

= \frac{d}{d x} (x^{6}) f (x) + \frac{d}{d x} (f (x)) x^{6}

\frac{d}{d x} (x^{6}) = 6 x^{5}

= 6 x^{5} f (x) + \frac{d}{d x} (f (x)) x^{6}

Beliebte Beispiele

f (u) = ln (u)

integral from 0 to 1 of (-12e^x)

\int_{0}^{1} (- 12 e^{x}) d x

limit as x approaches infinity of (-1)/x

x \to \infty lim (\frac{- 1}{x})

derivative of x^9{f}(x)

\frac{d}{d x} (x^{9} f (x))

derivative of ce^{x/6}

\frac{d}{d x} (c e^{\frac{x}{6}})