derivative of arccos(x^3)

Lösung

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

- \frac{3 x ^{2}}{1 - x ^{6}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

- \frac{1}{1 - ( x ^{3} ) ^{2}} \cdot 3 x^{2} : - \frac{3 x ^{2}}{1 - x ^{6}}

= - \frac{3 x ^{2}}{1 - x ^{6}}

\frac{d}{d x} (2 \cdot x^{2})

in v erse l a pl a ce \frac{( s - 2 )}{( s - 3 ) ( s + 1 )}

\int \frac{sin ^{7} ( 4 x )}{cos ^{4} ( 4 x )} d x

x \to 0 lim (\frac{sin ( 11 x )}{x})

d er i v a t i v e (arcsin (x))^{e^{- x}}