derivative of 4x^3-2/(x^3)

Lösung

\frac{d}{d x} (4 x^{3} - \frac{2}{x ^{3}})

12 x^{2} + \frac{6}{x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (4 x^{3} - \frac{2}{x ^{3}})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

= 12 x^{2} - (- \frac{6}{x ^{4}})

Vereinfache

= 12 x^{2} + \frac{6}{x ^{4}}

\int_{0}^{1} π (x - x^{8}) d x

\int_{1}^{\infty} x^{- 4} d x

d er i v a t i v e 6 x^{5} + 4 e^{x}

\int \frac{9 x ^{2}}{x ^{2} - 4} d x

x y^{^{'}} = y^{2} - y