de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(x)=arctan(x)+arctan(1/x)

Lösung

ableitung von

f (x) = arctan (x) + arctan (\frac{1}{x})

Lösung

0

Schritte zur Lösung

\frac{d}{d x} (arctan (x) + arctan (\frac{1}{x}))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (arctan (x)) + \frac{d}{d x} (arctan (\frac{1}{x}))

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

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

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

Vereinfache

\frac{1}{x ^{2} + 1} - \frac{1}{1 + x ^{2}} : 0

= 0

Graph

Beliebte Beispiele

f(x)=ln(sin(x))

f (x) = ln (sin (x))

derivative (12)/(sqrt(t))

d er i v a t i v e \frac{12}{t}

limit as x approaches 0+of (tan(9x))^x

x \to 0 + lim ((tan (9 x))^{x})

integral of 1/(x^3-4x)

\int \frac{1}{x ^{3} - 4 x} d x

integral of (3x^2+1)/((x^2-1)^3)

\int \frac{3 x ^{2} + 1}{( x ^{2} - 1 ) ^{3}} d x