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Beliebt Rechnen >

derivative of 25+3x-x^2+5x^8

Lösung

\frac{d}{d x} (25 + 3 x - x^{2} + 5 x^{8})

Lösung

40 x^{7} - 2 x + 3

Schritte zur Lösung

\frac{d}{d x} (25 + 3 x - x^{2} + 5 x^{8})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (25) + \frac{d}{d x} (3 x) - \frac{d}{d x} (x^{2}) + \frac{d}{d x} (5 x^{8})

\frac{d}{d x} (25) = 0

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

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

\frac{d}{d x} (5 x^{8}) = 40 x^{7}

= 0 + 3 - 2 x + 40 x^{7}

Vereinfache

= 40 x^{7} - 2 x + 3

Graph

Beliebte Beispiele

derivative f(x)= 3/(x^3)

d er i v a t i v e f (x) = \frac{3}{x ^{3}}

integral of 7sec^3(2x)

\int 7 sec^{3} (2 x) d x

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

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\int (e^{x} + 2) (x - 5) d x

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d er i v a t i v e y = ln (x^{3} sin^{2} (x))