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Beliebt Rechnen >

derivative y=-x^2+5x+2

Lösung

ableitung von

y = - x^{2} + 5 x + 2

Lösung

- 2 x + 5

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (2) = 0

= - 2 x + 5 + 0

Vereinfache

= - 2 x + 5

Graph

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