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Beliebt Rechnen >

derivative of-(25000/(x^2)+10)

Lösung

\frac{d}{d x} (- \frac{25000}{x ^{2}} + 10)

Lösung

\frac{50000}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (- \frac{25000}{x ^{2}} + 10)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (\frac{25000}{x ^{2}}) + \frac{d}{d x} (10)

\frac{d}{d x} (\frac{25000}{x ^{2}}) = - \frac{50000}{x ^{3}}

\frac{d}{d x} (10) = 0

= - (- \frac{50000}{x ^{3}}) + 0

Vereinfache

= \frac{50000}{x ^{3}}

Graph

Beliebte Beispiele

derivative of (4x^5+5/(x^3))

\frac{d}{d x} (\frac{4 x ^{5} + 5}{x ^{3}})

integral from 2 to 7 of 1/(sqrt(x^2-4))

\int_{2}^{7} \frac{1}{x ^{2} - 4} d x

derivative (25)/(t^2)-5/t

d er i v a t i v e \frac{25}{t ^{2}} - \frac{5}{t}

derivative of xe^{2x}(arcsin(3x))

\frac{d}{d x} (x e^{2 x} (arcsin (3 x)))

1200(dy)/(dx)=12000-200y-1800

1200 \frac{d y}{d x} = 12000 - 200 y - 1800