derivative of sin^2(6x)

Lösung

\frac{d}{d x} (sin^{2} (6 x))

12 sin (6 x) cos (6 x)

Schritte zur Lösung

\frac{d}{d x} (sin^{2} (6 x))

Wende die Kettenregel an:

2 sin (6 x) \frac{d}{d x} (sin (6 x))

= 2 sin (6 x) \frac{d}{d x} (sin (6 x))

\frac{d}{d x} (sin (6 x)) = cos (6 x) \cdot 6

= 2 sin (6 x) cos (6 x) \cdot 6

Vereinfache

= 12 sin (6 x) cos (6 x)

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

(x^{3} - 25 x^{2})^{^{'}}

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

\frac{\partial}{\partial x} (1 + 3 x + 2 y^{2})

\frac{\partial}{\partial y} (\frac{y}{7 x})