derivative f(x)=x^4+2/x

Lösung

ableitung von

f (x) = x^{4} + \frac{2}{x}

4 x^{3} - \frac{2}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (x^{4} + \frac{2}{x})

Wende die Summen-/Differenzregel an:

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

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

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

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

= 4 x^{3} - \frac{2}{x ^{2}}

n = 0 \sum \infty \frac{n}{n ^{2} + 9}

f (x) = \frac{x ^{2} + 4}{x}

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

d er i v a t i v e a x^{2}

\int_{- \infty}^{4} r e^{\frac{r}{2}} d r