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Beliebt Rechnen >

derivative of (x+5^{2/3})

Lösung

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

Lösung

\frac{2}{3 ( x + 5 ) ^{\frac{1}{3}}}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{2}{3 ( x + 5 ) ^{\frac{1}{3}}} \frac{d}{d x} (x + 5)

= \frac{2}{3 ( x + 5 ) ^{\frac{1}{3}}} \frac{d}{d x} (x + 5)

\frac{d}{d x} (x + 5) = 1

= \frac{2}{3 ( x + 5 ) ^{\frac{1}{3}}} \cdot 1

Vereinfache

= \frac{2}{3 ( x + 5 ) ^{\frac{1}{3}}}

Graph

Beliebte Beispiele

(dy)/(dx)=(x+y-2)^2

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

derivative y= C/x

d er i v a t i v e y = \frac{C}{x}

integral of (1/x-2/(x^2)+5/(x^3))

\int (\frac{1}{x} - \frac{2}{x ^{2}} + \frac{5}{x ^{3}}) d x

laplacetransform-y

l a pl a ce t r an s f or m - y

limit as x approaches 0 of (12)/(x^2)

x \to 0 lim (\frac{12}{x ^{2}})