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Beliebt Rechnen >

derivative 0.03x^2-4x+3x^{0.8}-5000

Lösung

ableitung von

0.03 x^{2} - 4 x + 3 x^{0.8} - 5000

Lösung

0.06 x + \frac{2.4}{x ^{0.2}} - 4

Schritte zur Lösung

\frac{d}{d x} (0.03 x^{2} - 4 x + 3 x^{0.8} - 5000)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (0.03 x^{2}) - \frac{d}{d x} (4 x) + \frac{d}{d x} (3 x^{0.8}) - \frac{d}{d x} (5000)

\frac{d}{d x} (0.03 x^{2}) = 0.06 x

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

\frac{d}{d x} (3 x^{0.8}) = \frac{2.4}{x ^{0.2}}

\frac{d}{d x} (5000) = 0

= 0.06 x - 4 + \frac{2.4}{x ^{0.2}} - 0

Vereinfache

= 0.06 x + \frac{2.4}{x ^{0.2}} - 4

Graph

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