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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

steigung (0,0),(4,2)

s l o p e (0, 0), (4, 2)

integral of (cos(t))/(5+sin(t))

\int \frac{cos ( t )}{5 + sin ( t )} d t

integral of (2x+1)(x^2+x+1)

\int (2 x + 1) (x^{2} + x + 1) d x

integral of sin^6(3x)

\int sin^{6} (3 x) d x

derivative of-8(x-3^3+27)

\frac{d}{d x} (- 8 (x - 3)^{3} + 27)