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Beliebt Rechnen >

derivative f(x)= 1/2 x^2-2x+6

Lösung

ableitung von

f (x) = \frac{1}{2} x^{2} - 2 x + 6

Lösung

x - 2

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{2} x^{2} - 2 x + 6)

Vereinfache

\frac{1}{2} x^{2} - 2 x + 6 : \frac{x ^{2}}{2} - 2 x + 6

= \frac{d}{d x} (\frac{x ^{2}}{2} - 2 x + 6)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{2}}{2}) - \frac{d}{d x} (2 x) + \frac{d}{d x} (6)

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

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

\frac{d}{d x} (6) = 0

= x - 2 + 0

Vereinfache

= x - 2

Graph

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