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Beliebt Rechnen >

derivative y=4-2x-x^{-3}

Lösung

ableitung von

y = 4 - 2 x - x^{- 3}

Lösung

\frac{3}{x ^{4}} - 2

Schritte zur Lösung

\frac{d}{d x} (4 - 2 x - x^{- 3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4) - \frac{d}{d x} (2 x) - \frac{d}{d x} (x^{- 3})

\frac{d}{d x} (4) = 0

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

\frac{d}{d x} (x^{- 3}) = - \frac{3}{x ^{4}}

= 0 - 2 - (- \frac{3}{x ^{4}})

Vereinfache

= \frac{3}{x ^{4}} - 2

Graph

Beliebte Beispiele

integral of r^2sec^2(r^3)

\int r^{2} sec^{2} (r^{3}) d r

tangent-6+250x^3-3x^5

t an g e n t - 6 + 250 x^{3} - 3 x^{5}

derivative of 1/(5x+1)

\frac{d}{d x} (\frac{1}{5 x + 1})

limit as x approaches-1f of x

x \to - 1 f lim (x)

fläche g(x)=x^2,g(x)=x^k0,1

a re a g (x) = x^{2}, g (x) = x^{k} 0, 1