derivative arcsin(6x^4)

Lösung

ableitung von

arcsin (6 x^{4})

\frac{24 x ^{3}}{1 - 36 x ^{8}}

Schritte zur Lösung

\frac{d}{d x} (arcsin (6 x^{4}))

Wende die Kettenregel an:

\frac{1}{1 - ( 6 x ^{4} ) ^{2}} \frac{d}{d x} (6 x^{4})

= \frac{1}{1 - ( 6 x ^{4} ) ^{2}} \frac{d}{d x} (6 x^{4})

\frac{d}{d x} (6 x^{4}) = 24 x^{3}

= \frac{1}{1 - ( 6 x ^{4} ) ^{2}} \cdot 24 x^{3}

Vereinfache

\frac{1}{1 - ( 6 x ^{4} ) ^{2}} \cdot 24 x^{3} : \frac{24 x ^{3}}{1 - 36 x ^{8}}

= \frac{24 x ^{3}}{1 - 36 x ^{8}}

x \to \infty lim (\frac{3}{x} + 5 x)

a re a x - 1, y^{2} = 2 x + 6

\frac{d}{d x} (y - x - 2)

\frac{\partial}{\partial x} (x^{2} (1 + sin (\frac{1}{x})))

x \to 2.5 lim (g (x))