derivative of 2/3 (5-2x^2^3)

Lösung

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

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

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (5 - 2 x^{2}) = - 4 x

= \frac{2}{3} \cdot 3 (5 - 2 x^{2})^{2} (- 4 x)

Vereinfache

\frac{2}{3} \cdot 3 (5 - 2 x^{2})^{2} (- 4 x) : - 8 x (5 - 2 x^{2})^{2}

= - 8 x (5 - 2 x^{2})^{2}

y = - 3 cot (2 x) sec (2 x)

\frac{\partial}{\partial t} (P e^{r t})

x \to - 0.01 lim (\frac{3 ^{x} - 1}{x})

y^{^{''}} + y^{^{'}} - 30 y = 0

\int 0.5 x^{3} d x