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Beliebt Rechnen >

derivative f(x)=x^2+10x+242x+8

Lösung

ableitung von

f (x) = x^{2} + 10 x + 242 x + 8

Lösung

2 x + 252

Schritte zur Lösung

\frac{d}{d x} (x^{2} + 10 x + 242 x + 8)

Vereinfache

x^{2} + 10 x + 242 x + 8 : x^{2} + 252 x + 8

= \frac{d}{d x} (x^{2} + 252 x + 8)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (252 x) + \frac{d}{d x} (8)

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

\frac{d}{d x} (252 x) = 252

\frac{d}{d x} (8) = 0

= 2 x + 252 + 0

Vereinfache

= 2 x + 252

Graph

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