de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial x)(sqrt(x^3+x))

Lösung

\frac{\partial}{\partial x} (x^{3} + x)

Lösung

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

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{3} + x)

Wende die Kettenregel an:

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

= \frac{1}{2 x ^{3} + x} \frac{\partial}{\partial x} (x^{3} + x)

\frac{\partial}{\partial x} (x^{3} + x) = 3 x^{2} + 1

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

Vereinfache

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

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

Beliebte Beispiele

integral from b to 1 of 3ln(x)

\int_{b}^{1} 3 ln (x) d x

integral of 5x 3/2

\int 5 x \frac{3}{2} d x

derivative of (e^{-x}/x)

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

integral from-1 to 1 of e^y-(y^2-9)

\int_{- 1}^{1} e^{y} - (y^{2} - 9) d y

(14-6y+e-3x)dx-2dy=0

(14 - 6 y + e - 3 x) d x - 2 d y = 0