derivative (126-0.5x)x-50x-31.75

Lösung

ableitung von

(126 - 0.5 x) x - 50 x - 31.75

- x + 76

Schritte zur Lösung

\frac{d}{d x} ((126 - 0.5 x) x - 50 x - 31.75)

Vereinfache

(126 - 0.5 x) x - 50 x - 31.75 : - 0.5 x^{2} + 76 x - 31.75

= \frac{d}{d x} (- 0.5 x^{2} + 76 x - 31.75)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (0.5 x^{2}) + \frac{d}{d x} (76 x) - \frac{d}{d x} (31.75)

\frac{d}{d x} (0.5 x^{2}) = x

\frac{d}{d x} (76 x) = 76

\frac{d}{d x} (31.75) = 0

= - x + 76 - 0

Vereinfache

= - x + 76

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