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

Lösung

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

- \frac{8 ( x + 1 )}{( x - 3 ) ^{3}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (\frac{x + 1}{x - 3}) = - \frac{4}{( x - 3 ) ^{2}}

= 2 \cdot \frac{x + 1}{x - 3} (- \frac{4}{( x - 3 ) ^{2}})

Vereinfache

2 \cdot \frac{x + 1}{x - 3} (- \frac{4}{( x - 3 ) ^{2}}) : - \frac{8 ( x + 1 )}{( x - 3 ) ^{3}}

= - \frac{8 ( x + 1 )}{( x - 3 ) ^{3}}

d er i v a t i v e y = cos (a^{7} + x^{7})

\frac{d}{d t} (e^{- t} cos (t))

\frac{d}{d x} (ln (x^{3} - 63))

x \to 4 lim (2)

\int_{- 3}^{3} \frac{x}{1 + ∣ x ∣} d x