de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative sqrt(t^2+1)

Lösung

ableitung von

t^{2} + 1

Lösung

\frac{t}{t ^{2} + 1}

Schritte zur Lösung

\frac{d}{d t} (t^{2} + 1)

Wende die Kettenregel an:

\frac{1}{2 t ^{2} + 1} \frac{d}{d t} (t^{2} + 1)

= \frac{1}{2 t ^{2} + 1} \frac{d}{d t} (t^{2} + 1)

\frac{d}{d t} (t^{2} + 1) = 2 t

= \frac{1}{2 t ^{2} + 1} \cdot 2 t

Vereinfache

\frac{1}{2 t ^{2} + 1} \cdot 2 t : \frac{t}{t ^{2} + 1}

= \frac{t}{t ^{2} + 1}

Graph

Beliebte Beispiele

derivative of 5+3sqrt(x)

\frac{d}{d x} (5 + 3 x)

integral of (5x-3)/(x^2+4)

\int \frac{5 x - 3}{x ^{2} + 4} d x

integral of 1/(x^2+4x+13)

\int \frac{1}{x ^{2} + 4 x + 13} d x

limit as x approaches pi of ln|cos(x)-7|

x \to π lim (ln ∣ cos (x) - 7 ∣)

integral from 0 to pi/2 of cos^7(x)

\int_{0}^{\frac{π}{2}} cos^{7} (x) d x