derivative y=(x-5)^2+8

Lösung

ableitung von

y = (x - 5)^{2} + 8

2 x - 10

Schritte zur Lösung

\frac{d}{d x} ((x - 5)^{2} + 8)

Vereinfache

(x - 5)^{2} + 8 : x^{2} - 10 x + 33

= \frac{d}{d x} (x^{2} - 10 x + 33)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (10 x) + \frac{d}{d x} (33)

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

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (33) = 0

= 2 x - 10 + 0

Vereinfache

= 2 x - 10

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