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Beliebt Rechnen >

derivative of \sqrt[3]{{g}(x})

Lösung

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

Lösung

\frac{\frac{d}{d x} ( g ( x ) )}{3 g ( x ) ^{\frac{2}{3}}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

Vereinfache

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

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

Beliebte Beispiele

integral of (8x+15)ln(2x)

\int (8 x + 15) ln (2 x) d x

integral of t^2e^{-9t}

\int t^{2} e^{- 9 t} d t

integral from 1 to 4 of (3ln(x))/(x^2)

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

fläche y=2916sqrt(x),108x^2

a re a y = 2916 x, 108 x^{2}

integral of (x(2x-9))/(x^3-6x^2+12x-8)

\int \frac{x ( 2 x - 9 )}{x ^{3} - 6 x ^{2} + 12 x - 8} d x