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Beliebt Rechnen >

derivative of x^4+5x^{-1}

Lösung

\frac{d}{d x} (x^{4} + 5 x^{- 1})

Lösung

4 x^{3} - \frac{5}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (x^{4} + 5 x^{- 1})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (5 x^{- 1})

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

\frac{d}{d x} (5 x^{- 1}) = - \frac{5}{x ^{2}}

= 4 x^{3} - \frac{5}{x ^{2}}

Graph

Beliebte Beispiele

derivative of e^{2sin(3x})

\frac{d}{d x} (e^{2 s i n (3 x)})

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f (x) = \frac{sin ( x ) - cos ( x )}{sin ( x ) + cos ( x )}

derivative t^3-12t^2+36t

d er i v a t i v e t^{3} - 12 t^{2} + 36 t

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d er i v a t i v e 18 cos (x) + 9 sin^{2} (x)

(d^2y)/(dx^2)-5(dy)/(dx)+6y=0

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = 0