derivative of (3x^2-9^{-14})

Lösung

\frac{d}{d x} ((3 x^{2} - 9)^{- 14})

- \frac{28 x}{4782969 ( x ^{2} - 3 ) ^{15}}

Schritte zur Lösung

\frac{d}{d x} ((3 x^{2} - 9)^{- 14})

Wende die Kettenregel an:

- \frac{14}{( 3 x ^{2} - 9 ) ^{15}} \frac{d}{d x} (3 x^{2} - 9)

= - \frac{14}{( 3 x ^{2} - 9 ) ^{15}} \frac{d}{d x} (3 x^{2} - 9)

\frac{d}{d x} (3 x^{2} - 9) = 6 x

= - \frac{14}{( 3 x ^{2} - 9 ) ^{15}} \cdot 6 x

Vereinfache

- \frac{14}{( 3 x ^{2} - 9 ) ^{15}} \cdot 6 x : - \frac{28 x}{4782969 ( x ^{2} - 3 ) ^{15}}

= - \frac{28 x}{4782969 ( x ^{2} - 3 ) ^{15}}

\int \frac{1}{x} cos^{2} (x) d x

\int_{0}^{a} 7 x^{2} a^{2} - x^{2} d x

\frac{d}{d x} (4 x^{2} - 8 x)

x \to 16 lim (\frac{x - 4}{4 x - 2})

x \to \infty lim (e^{- 3 x} sin (x))