derivative of 1/((1-x^2))

Lösung

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

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

\int_{0}^{1} \frac{x}{( x + 1 ) ( x ^{2} + 1 )} d x

\int x (x - 5)^{2} d x

d er i v a t i v e f (x) = \frac{x ^{3}}{24} + \frac{2}{x}

\int_{1}^{2} \frac{1}{4 - t ^{2}} d t

t an g e n t - 3 x^{2} + 2 x y + 2 y^{3} = 125, (3, 4)