derivative of 1/3 (3-5x^3)

Lösung

\frac{d}{d x} (\frac{1}{3} (3 - 5 x)^{3})

- 5 (3 - 5 x)^{2}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{3} (3 - 5 x)^{3})

Entferne die Konstante:

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

= \frac{1}{3} \frac{d}{d x} ((3 - 5 x)^{3})

Wende die Kettenregel an:

3 (3 - 5 x)^{2} \frac{d}{d x} (3 - 5 x)

= 3 (3 - 5 x)^{2} \frac{d}{d x} (3 - 5 x)

\frac{d}{d x} (3 - 5 x) = - 5

= \frac{1}{3} \cdot 3 (3 - 5 x)^{2} (- 5)

Vereinfache

\frac{1}{3} \cdot 3 (3 - 5 x)^{2} (- 5) : - 5 (3 - 5 x)^{2}

= - 5 (3 - 5 x)^{2}

\int_{0}^{2} \frac{16}{21 x ^{2}} d x

t an g e n t 9 x^{2}, at x = 2

\int \frac{x}{x ^{2} - x + 6} d x

\frac{\partial}{\partial x} (\frac{a}{x ^{2}})

\frac{\partial}{\partial x} (ln (x^{6} y))