de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of arctan(sx)

Lösung

\frac{d}{d x} (arctan (s x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (arctan (s x))

Wende die Kettenregel an:

\frac{1}{( s x ) ^{2} + 1} \frac{d}{d x} (s x)

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

\frac{d}{d x} (s x) = s

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

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative of tan(x-y)

\frac{d}{d x} (tan (x - y))

integral of \sqrt[9]{r^2}

\int 9 r^{2} d r

laplacetransform 3cos(8t)

l a pl a ce t r an s f or m 3 cos (8 t)

y^{''}-2y-8y=0,y(0)=-2,y^'(0)=4

y^{^{''}} - 2 y - 8 y = 0, y (0) = - 2, y^{^{'}} (0) = 4

integral of e^{3x+e^x}

\int e^{3 x + e^{x}} d x