derivative of \sqrt[3]{27x^2}-1/(\sqrt[3]{27x^2})

Lösung

\frac{d}{d x} (3 27 x^{2} - \frac{1}{3 27 x ^{2}})

\frac{2}{x ^{\frac{1}{3}}} + \frac{2}{9 x ^{\frac{5}{3}}}

Schritte zur Lösung

\frac{d}{d x} (3 27 x^{2} - \frac{1}{3 27 x ^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 27 x^{2}) - \frac{d}{d x} (\frac{1}{3 27 x ^{2}})

\frac{d}{d x} (3 27 x^{2}) = \frac{2}{x ^{\frac{1}{3}}}

\frac{d}{d x} (\frac{1}{3 27 x ^{2}}) = - \frac{2}{9 x ^{\frac{5}{3}}}

= \frac{2}{x ^{\frac{1}{3}}} - (- \frac{2}{9 x ^{\frac{5}{3}}})

Vereinfache

= \frac{2}{x ^{\frac{1}{3}}} + \frac{2}{9 x ^{\frac{5}{3}}}

f (x) = 8 ln (x) - x^{2}

\frac{d}{d x} (\frac{7}{x - 1})

\frac{d}{d x} (\frac{( 7 x ^{2} - 8 ) ^{4}}{x})

t a y l or e^{x} cos (x)

\int 6 e^{2} d x