de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 1/((1-t^2)^{1/2)}

Lösung

ableitung von

\frac{1}{( 1 - t ^{2} ) ^{\frac{1}{2}}}

Lösung

\frac{t}{( 1 - t ^{2} ) ^{\frac{3}{2}}}

Schritte zur Lösung

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

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

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

Wende die Kettenregel an:

- \frac{1}{2 ( 1 - t ^{2} ) ^{\frac{3}{2}}} \frac{d}{d t} (1 - t^{2})

= - \frac{1}{2 ( 1 - t ^{2} ) ^{\frac{3}{2}}} \frac{d}{d t} (1 - t^{2})

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

tangent f(x)=((x+1)/(x+3))^2,\at x=-2

t an g e n t f (x) = (\frac{x + 1}{x + 3})^{2}, at x = - 2

integral from 0 to infinity of ((ye^{-y/a}))/a

\int_{0}^{\infty} \frac{( y e ^{- \frac{y}{a}} )}{a} d y

fläche y=x^2-4x,y=2x+7

a re a y = x^{2} - 4 x, y = 2 x + 7

integral of 3ln(x^2-x+4)

\int 3 ln (x^{2} - x + 4) d x

((x-2)^2(x+4))^'

((x - 2)^{2} (x + 4))^{^{'}}