derivative of \sqrt[4]{8x^2}

Lösung

\frac{d}{d x} (4 8 x^{2})

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

Schritte zur Lösung

\frac{d}{d x} (4 8 x^{2})

Wende die Kettenregel an:

\frac{1}{4 ( 8 x ^{2} ) ^{\frac{3}{4}}} \frac{d}{d x} (8 x^{2})

= \frac{1}{4 ( 8 x ^{2} ) ^{\frac{3}{4}}} \frac{d}{d x} (8 x^{2})

\frac{d}{d x} (8 x^{2}) = 16 x

= \frac{1}{4 ( 8 x ^{2} ) ^{\frac{3}{4}}} \cdot 16 x

Vereinfache

\frac{1}{4 ( 8 x ^{2} ) ^{\frac{3}{4}}} \cdot 16 x : \frac{1}{2 ^{\frac{1}{4}} x ^{\frac{1}{2}}}

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

\int 55 - 6 x - x^{2} d x

d er i v a t i v e \frac{a x + b}{c x + d}

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

\int a sin (x) d x

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