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^{sqrt(3x+1)}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Graph

Beliebte Beispiele

integral of 1/(sqrt(1+x))

\int \frac{1}{1 + x} d x

taylor cos(x),5

t a y l or cos (x), 5

derivative of x^2-10x+24

\frac{d}{d x} (x^{2} - 10 x + 24)

limit as x approaches 1 of x^3-1

x \to 1 lim (x^{3} - 1)

(\partial)/(\partial x)(sin(x^2-y))

\frac{\partial}{\partial x} (sin (x^{2} - y))