derivative of 1/((3x+8^2))

Lösung

\frac{d}{d x} (\frac{1}{( 3 x + 8 ) ^{2}})

- \frac{6}{( 3 x + 8 ) ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{( 3 x + 8 ) ^{2}})

Wende Exponentenregel an:

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

= \frac{d}{d x} ((3 x + 8)^{- 2})

Wende die Kettenregel an:

- \frac{2}{( 3 x + 8 ) ^{3}} \frac{d}{d x} (3 x + 8)

= - \frac{2}{( 3 x + 8 ) ^{3}} \frac{d}{d x} (3 x + 8)

\frac{d}{d x} (3 x + 8) = 3

= - \frac{2}{( 3 x + 8 ) ^{3}} \cdot 3

Vereinfache

- \frac{2}{( 3 x + 8 ) ^{3}} \cdot 3 : - \frac{6}{( 3 x + 8 ) ^{3}}

= - \frac{6}{( 3 x + 8 ) ^{3}}

\frac{\partial}{\partial x} (\frac{3 x}{y})

x \to - 1 - lim (x + 2)

\int \frac{1 - 3 x}{3 + 2 x} d x

x \to 0 lim (\frac{x ^{3} - x}{x})

n = 1 \sum \infty ∣ sin (n) ∣