derivative of (4x-1^{1/3})

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (4 x - 1) = 4

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

Vereinfache

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

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

d er i v a t i v e \frac{x ^{4} + 6 x - 1}{7 x ^{2} - 6 x + 1}

d er i v a t i v e sin (15 x)

\int 6 - x^{2} d x

y^{^{'}} = \frac{1 - y ^{2}}{t}

t an g e n t f (x) = 4 x^{2} + 2 x, (- 2, 12)