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Beliebt Rechnen >

derivative 4x+(144)/x+80

Lösung

ableitung von

4 x + \frac{144}{x} + 80

Lösung

- \frac{144}{x ^{2}} + 4

Schritte zur Lösung

\frac{d}{d x} (4 x + \frac{144}{x} + 80)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x) + \frac{d}{d x} (\frac{144}{x}) + \frac{d}{d x} (80)

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

\frac{d}{d x} (\frac{144}{x}) = - \frac{144}{x ^{2}}

\frac{d}{d x} (80) = 0

= 4 - \frac{144}{x ^{2}} + 0

Vereinfache

= - \frac{144}{x ^{2}} + 4

Graph

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