derivative of sin^3(2x^2)

Lösung

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

12 x sin^{2} (2 x^{2}) cos (2 x^{2})

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 12 x sin^{2} (2 x^{2}) cos (2 x^{2})

\int 4^{x} \cdot e^{2 x} d x

\frac{d}{d x} (3 a^{5 x})

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

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

y = e^{- 2 ((x - 146) - 2 (\frac{l n ( 19.52 )}{2}))}