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Beliebt Rechnen >

derivative f(x)=8x^5-8

Lösung

ableitung von

f (x) = 8 x^{5} - 8

Lösung

40 x^{4}

Schritte zur Lösung

\frac{d}{d x} (8 x^{5} - 8)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (8 x^{5}) - \frac{d}{d x} (8)

\frac{d}{d x} (8 x^{5}) = 40 x^{4}

\frac{d}{d x} (8) = 0

= 40 x^{4} - 0

Vereinfache

= 40 x^{4}

Graph

Beliebte Beispiele

t a y l or e^{x}, - 1

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

d er i v a t i v e f (x) = x^{2} (x + 1)

derivative f(x)=(2x^2)/(x^2-2x-8)

d er i v a t i v e f (x) = \frac{2 x ^{2}}{x ^{2} - 2 x - 8}

integral of x/(x^2+2x)

\int \frac{x}{x ^{2} + 2 x} d x

derivative ((t^3)/(t^8+1))^2

d er i v a t i v e (\frac{t ^{3}}{t ^{8} + 1})^{2}