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Beliebt Rechnen >

derivative of (4/5 x^5)

Lösung

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

Lösung

\frac{1024 x ^{4}}{625}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

5 (\frac{4}{5} x)^{4} \frac{4}{5} : \frac{1024 x ^{4}}{625}

= \frac{1024 x ^{4}}{625}

Graph

Beliebte Beispiele

integral of x/((x^4+2))

\int \frac{x}{( x ^{4} + 2 )} d x

ty^'+2y=sin(t),y(pi/2)=7

t y^{^{'}} + 2 y = sin (t), y (\frac{π}{2}) = 7

fläche x^2-41,7-2x

a re a x^{2} - 41, 7 - 2 x

tangent sqrt(x),\at x=100

t an g e n t x, at x = 100

derivative 2t^2

d er i v a t i v e 2 t^{2}