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Beliebt Rechnen >

derivative of 4x^5-10x^4+2

Lösung

\frac{d}{d x} (4 x^{5} - 10 x^{4} + 2)

Lösung

20 x^{4} - 40 x^{3}

Schritte zur Lösung

\frac{d}{d x} (4 x^{5} - 10 x^{4} + 2)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{5}) - \frac{d}{d x} (10 x^{4}) + \frac{d}{d x} (2)

\frac{d}{d x} (4 x^{5}) = 20 x^{4}

\frac{d}{d x} (10 x^{4}) = 40 x^{3}

\frac{d}{d x} (2) = 0

= 20 x^{4} - 40 x^{3} + 0

Vereinfache

= 20 x^{4} - 40 x^{3}

Graph

Beliebte Beispiele

integral of (x^5-3x)/(x^4)

\int \frac{x ^{5} - 3 x}{x ^{4}} d x

fläche y=x^2+1,x=0,x=6

a re a y = x^{2} + 1, x = 0, x = 6

integral of-4sin(2x)+3

\int - 4 sin (2 x) + 3 d x

integral of 1/(sqrt(2x+3))

\int \frac{1}{2 x + 3} d x

derivative of (1/2 x^2-3^2)

\frac{d}{d x} ((\frac{1}{2} x^{2} - 3)^{2})