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Beliebt Rechnen >

derivative y=-4/(5x^5)+(15)/(4x^4)

Lösung

ableitung von

y = - \frac{4}{5 x ^{5}} + \frac{15}{4 x ^{4}}

Lösung

\frac{4}{x ^{6}} - \frac{15}{x ^{5}}

Schritte zur Lösung

\frac{d}{d x} (- \frac{4}{5 x ^{5}} + \frac{15}{4 x ^{4}})

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (\frac{4}{5 x ^{5}}) + \frac{d}{d x} (\frac{15}{4 x ^{4}})

\frac{d}{d x} (\frac{4}{5 x ^{5}}) = - \frac{4}{x ^{6}}

\frac{d}{d x} (\frac{15}{4 x ^{4}}) = - \frac{15}{x ^{5}}

= - (- \frac{4}{x ^{6}}) - \frac{15}{x ^{5}}

Vereinfache

= \frac{4}{x ^{6}} - \frac{15}{x ^{5}}

Graph

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