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Beliebt Rechnen >

derivative-(0.1x-23)^2

Lösung

ableitung von

- (0.1 x - 23)^{2}

Lösung

- 0.02 x + 4.6

Schritte zur Lösung

\frac{d}{d x} (- (0.1 x - 23)^{2})

Vereinfache

- (0.1 x - 23)^{2} : - 0.01 x^{2} + 4.6 x - 529

= \frac{d}{d x} (- 0.01 x^{2} + 4.6 x - 529)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (0.01 x^{2}) + \frac{d}{d x} (4.6 x) - \frac{d}{d x} (529)

\frac{d}{d x} (0.01 x^{2}) = 0.02 x

\frac{d}{d x} (4.6 x) = 4.6

\frac{d}{d x} (529) = 0

= - 0.02 x + 4.6 - 0

Vereinfache

= - 0.02 x + 4.6

Graph

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