derivative of 3/((1-x^2))

Lösung

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

\frac{6}{( 1 - x ) ^{3}}

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende Exponentenregel an:

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

= 3 \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

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

Vereinfache

3 (- \frac{2}{( 1 - x ) ^{3}} (- 1)) : \frac{6}{( 1 - x ) ^{3}}

= \frac{6}{( 1 - x ) ^{3}}

\int (3 x^{5} - 6 x + e^{x} - \frac{4}{x}) d x

\frac{\partial}{\partial x} (x cos (y) - y cos (x))

d er i v a t i v e g (x) = ln (x e^{- 2 x})

\int \frac{x ^{4} + 10 x ^{3}}{2 x ^{2}} d x

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