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Beliebt Rechnen >

derivative of \sqrt[3]{4x}

Lösung

\frac{d}{d x} (3 4 x)

Lösung

\frac{4 ^{\frac{1}{3}}}{3 x ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (3 4 x)

Wende die Kettenregel an:

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

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

\frac{d}{d x} (4 x) = 4

= \frac{1}{3 ( 4 x ) ^{\frac{2}{3}}} \cdot 4

Vereinfache

\frac{1}{3 ( 4 x ) ^{\frac{2}{3}}} \cdot 4 : \frac{4 ^{\frac{1}{3}}}{3 x ^{\frac{2}{3}}}

= \frac{4 ^{\frac{1}{3}}}{3 x ^{\frac{2}{3}}}

Graph

Beliebte Beispiele

integral of (4x)/((x^2+1))

\int \frac{4 x}{( x ^{2} + 1 )} d x

integral of 5x^{-2/3}-2x^{5/3}

\int 5 x^{- \frac{2}{3}} - 2 x^{\frac{5}{3}} d x

tangent f(x)=(11)/(9x),\at x=1

t an g e n t f (x) = \frac{11}{9 x}, at x = 1

integral of 1/(1-sin(x/2))

\int \frac{1}{1 - sin ( \frac{x}{2} )} d x

f(x)=(10)/(x^2)

f (x) = \frac{10}{x ^{2}}