derivative of (16/(x^2)-4/x)

Lösung

\frac{d}{d x} (\frac{16}{x ^{2}} - \frac{4}{x})

- \frac{32}{x ^{3}} + \frac{4}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{16}{x ^{2}} - \frac{4}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{16}{x ^{2}}) - \frac{d}{d x} (\frac{4}{x})

\frac{d}{d x} (\frac{16}{x ^{2}}) = - \frac{32}{x ^{3}}

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

= - \frac{32}{x ^{3}} - (- \frac{4}{x ^{2}})

Vereinfache

= - \frac{32}{x ^{3}} + \frac{4}{x ^{2}}

d er i v a t i v e f (x) = (a^{\frac{1}{x}} + b^{\frac{1}{x}})^{x}

\int \frac{x ^{3}}{5 x ^{2} + 2} d x

in v erse l a pl a ce \frac{8}{s ^{2} + 9}

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

\frac{\partial}{\partial a} (ab)