derivative f(x)=(5+x)(12-x)-2.2x

Lösung

ableitung von

f (x) = (5 + x) (12 - x) - 2.2 x

- 2 x + 4.8

Schritte zur Lösung

\frac{d}{d x} ((5 + x) (12 - x) - 2.2 x)

Vereinfache

(5 + x) (12 - x) - 2.2 x : - x^{2} + 4.8 x + 60

= \frac{d}{d x} (- x^{2} + 4.8 x + 60)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (x^{2}) + \frac{d}{d x} (4.8 x) + \frac{d}{d x} (60)

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

\frac{d}{d x} (4.8 x) = 4.8

\frac{d}{d x} (60) = 0

= - 2 x + 4.8 + 0

Vereinfache

= - 2 x + 4.8

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