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Beliebt Rechnen >

derivative y=(5-2x^3)^3

Lösung

ableitung von

y = (5 - 2 x^{3})^{3}

Lösung

- 18 x^{2} (5 - 2 x^{3})^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (5 - 2 x^{3}) = - 6 x^{2}

= 3 (5 - 2 x^{3})^{2} (- 6 x^{2})

Vereinfache

= - 18 x^{2} (5 - 2 x^{3})^{2}

Graph

Beliebte Beispiele

integral of 2^xx^2

\int 2^{x} x^{2} d x

integral of x^5sqrt(x^6+3)

\int x^{5} x^{6} + 3 d x

y^'+y=te^{-t}+e^t

y^{^{'}} + y = t e^{- t} + e^{t}

limit as x approaches 0 of ln(x/(x-1))

x \to 0 lim (ln (\frac{x}{x - 1}))

inverselaplace (e^{-s})/(s-8)

in v erse l a pl a ce \frac{e ^{- s}}{s - 8}