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Beliebt Rechnen >

derivative of \sqrt[4]{x^3}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative y=(4x)/(x+2)

d er i v a t i v e y = \frac{4 x}{x + 2}

t(dy)/(dt)=t^3+11t^3y

t \frac{d y}{d t} = t^{3} + 11 t^{3} y

integral of (xsqrt(1-x^2))

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

limit as x approaches 7-of (4x)/(x-7)

x \to 7 - lim (\frac{4 x}{x - 7})

integral of sin(2x)cos(2x)

\int sin (2 x) cos (2 x) d x