derivative of 8x-5/(\sqrt[3]{x^2}+e)

Lösung

\frac{d}{d x} (8 x - \frac{5}{3 x ^{2}} + e)

\frac{10}{3 x ^{\frac{5}{3}}} + 8

Schritte zur Lösung

\frac{d}{d x} (8 x - \frac{5}{3 x ^{2}} + e)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (8 x) - \frac{d}{d x} (\frac{5}{3 x ^{2}}) + \frac{d e}{d x}

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (\frac{5}{3 x ^{2}}) = - \frac{10}{3 x ^{\frac{5}{3}}}

\frac{d e}{d x} = 0

= 8 - (- \frac{10}{3 x ^{\frac{5}{3}}}) + 0

Vereinfache

= \frac{10}{3 x ^{\frac{5}{3}}} + 8

\frac{d}{d x} (tan (cos (2 x)))

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