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Beliebt Rechnen >

derivative of \sqrt[3]{x-8}

Lösung

\frac{d}{d x} (3 x - 8)

Lösung

\frac{1}{3 ( x - 8 ) ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (3 x - 8)

Wende die Kettenregel an:

\frac{1}{3 ( x - 8 ) ^{\frac{2}{3}}} \frac{d}{d x} (x - 8)

= \frac{1}{3 ( x - 8 ) ^{\frac{2}{3}}} \frac{d}{d x} (x - 8)

\frac{d}{d x} (x - 8) = 1

= \frac{1}{3 ( x - 8 ) ^{\frac{2}{3}}} \cdot 1

Vereinfache

= \frac{1}{3 ( x - 8 ) ^{\frac{2}{3}}}

Graph

Beliebte Beispiele

inverselaplace 2/(s^2+2s+10)*1/s

in v erse l a pl a ce \frac{2}{s ^{2} + 2 s + 10} \cdot \frac{1}{s}

derivative of 1-(1-x/(24)^3)

\frac{d}{d x} (1 - (1 - \frac{x}{24})^{3})

derivative f(x)=(x-5)^6(x+3)^2

d er i v a t i v e f (x) = (x - 5)^{6} (x + 3)^{2}

integral of-8(y)^2(1)

\int - 8 (y)^{2} (1) d y

fläche x=y^2+14y+16,x=7y+6

a re a x = y^{2} + 14 y + 16, x = 7 y + 6