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)=sqrt((1-x)/(1+x))

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

tangent f(x)=sqrt(x^2+15),\at x=7

t an g e n t f (x) = x^{2} + 15, at x = 7

(\partial)/(\partial x)(arctan(y/x))

\frac{\partial}{\partial x} (arctan (\frac{y}{x}))

derivative 6/(5x+3)

d er i v a t i v e \frac{6}{5 x + 3}

integral of 1/((x+1))

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

5 y^{^{'}} = 2 y