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Beliebt Rechnen >

derivative 15x-0.4x^2-80

Lösung

ableitung von

15 x - 0.4 x^{2} - 80

Lösung

- 0.8 x + 15

Schritte zur Lösung

\frac{d}{d x} (15 x - 0.4 x^{2} - 80)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (15 x) - \frac{d}{d x} (0.4 x^{2}) - \frac{d}{d x} (80)

\frac{d}{d x} (15 x) = 15

\frac{d}{d x} (0.4 x^{2}) = 0.8 x

\frac{d}{d x} (80) = 0

= 15 - 0.8 x - 0

Vereinfache

= - 0.8 x + 15

Graph

Beliebte Beispiele

derivative f(x)=cos^6(x)

d er i v a t i v e f (x) = cos^{6} (x)

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\frac{d}{d x} (0.5 e^{x - 1})

derivative 9/(x-7)

d er i v a t i v e \frac{9}{x - 7}

integral of x^6e^x

\int x^{6} e^{x} d x

tangent f(x)=(14)/((1+e-x),\at (0,7))

t an g e n t f (x) = \frac{14}{( 1 + e - x ) , at ( 0 , 7 )}