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Beliebt Rechnen >

derivative of sqrt((4x^3/9))

Lösung

\frac{d}{d x} (\frac{4 x ^{3}}{9})

Lösung

x

Schritte zur Lösung

\frac{d}{d x} (\frac{4 x ^{3}}{9})

Wende die Kettenregel an:

\frac{1}{2 \frac{4 x ^{3}}{9}} \frac{d}{d x} (\frac{4 x ^{3}}{9})

= \frac{1}{2 \frac{4 x ^{3}}{9}} \frac{d}{d x} (\frac{4 x ^{3}}{9})

\frac{d}{d x} (\frac{4 x ^{3}}{9}) = \frac{4 x ^{2}}{3}

= \frac{1}{2 \frac{4 x ^{3}}{9}} \cdot \frac{4 x ^{2}}{3}

Vereinfache

\frac{1}{2 \frac{4 x ^{3}}{9}} \cdot \frac{4 x ^{2}}{3} : x

= x

Graph

Beliebte Beispiele

integral from-4 to-2 of (x^2-4)

\int_{- 4}^{- 2} (x^{2} - 4) d x

derivative 5x^2+x

d er i v a t i v e 5 x^{2} + x

y^'=((x^2+xy+y^2))/(x^2)

y^{^{'}} = \frac{( x ^{2} + x y + y ^{2} )}{x ^{2}}

integral of xsin(x/2)

\int x sin (\frac{x}{2}) d x

derivative f(t)=4t^2+5

d er i v a t i v e f (t) = 4 t^{2} + 5