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Beliebt Rechnen >

derivative f(x)= 1/2 x^2+7x

Lösung

ableitung von

f (x) = \frac{1}{2} x^{2} + 7 x

Lösung

x + 7

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{2} x^{2} + 7 x)

Vereinfache

\frac{1}{2} x^{2} + 7 x : \frac{x ^{2}}{2} + 7 x

= \frac{d}{d x} (\frac{x ^{2}}{2} + 7 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{2}}{2}) + \frac{d}{d x} (7 x)

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

\frac{d}{d x} (7 x) = 7

= x + 7

Graph

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