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^3+2sqrt(x)+2

Lösung

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

Lösung

3 x^{2} + \frac{1}{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (2 x) = \frac{1}{x}

\frac{d}{d x} (2) = 0

= 3 x^{2} + \frac{1}{x} + 0

Vereinfache

= 3 x^{2} + \frac{1}{x}

Graph

Beliebte Beispiele

integral of (e^{6x})/(1+e^{2x)}

\int \frac{e ^{6 x}}{1 + e ^{2 x}} d x

(dy)/(dx)=y(2-y)

\frac{d y}{d x} = y (2 - y)

integral of 2x(x^2+19)^{14}

\int 2 x (x^{2} + 19)^{14} d x

integral of (x^2-5)^52x

\int (x^{2} - 5)^{5} 2 x d x

integral of 7arctan(sqrt(x))

\int 7 arctan (x) d x