derivative C(x)=-9x^2+500x+110

Lösung

ableitung von

C (x) = - 9 x^{2} + 500 x + 110

- 18 x + 500

Schritte zur Lösung

\frac{d}{d x} (- 9 x^{2} + 500 x + 110)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (500 x) + \frac{d}{d x} (110)

\frac{d}{d x} (9 x^{2}) = 18 x

\frac{d}{d x} (500 x) = 500

\frac{d}{d x} (110) = 0

= - 18 x + 500 + 0

Vereinfache

= - 18 x + 500

\frac{d}{d x} (\frac{( x - 1 ) ^{4}}{( x ^{2} + 2 x ) ^{5}})

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