derivative of 1/((4x^3))

Lösung

\frac{d}{d x} (\frac{1}{( 4 x ) ^{3}})

- \frac{3}{64 x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{( 4 x ) ^{3}})

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

- \frac{3}{( 4 x ) ^{4}} \frac{d}{d x} (4 x)

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

\frac{d}{d x} (4 x) = 4

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

Vereinfache

- \frac{3}{( 4 x ) ^{4}} \cdot 4 : - \frac{3}{64 x ^{4}}

= - \frac{3}{64 x ^{4}}

\int_{1}^{2} \frac{1}{8 - 3 x} d x

\int 8 x^{3} + 12 x + 2 d x

\frac{\partial}{\partial x} (x^{2} y^{2} - 3 y)

a re a f (x) = 4 x + 8, 0, 8

n = 0 \sum \infty \frac{7 n !}{2 ^{n}}