derivative of sin^4(2x)

Lösung

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

8 sin^{3} (2 x) cos (2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

= 4 (sin (2 x))^{3} cos (2 x) \cdot 2

Vereinfache

= 8 sin^{3} (2 x) cos (2 x)

\frac{d}{d x} (\frac{( x + 1 ) ( 2 x - 7 )}{2 x + 1})

b \to \infty lim (e^{b})

in v erse l a pl a ce \frac{s \cdot e ^{- 3 s}}{s ^{2} + 25}

d er i v a t i v e \frac{e ^{8 x}}{x}

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