derivative of 3(cos(x)^2)

Lösung

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

- 3 sin (2 x)

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

2 cos (x) \frac{d}{d x} (cos (x))

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

\frac{d}{d x} (cos (x)) = - sin (x)

= 3 \cdot 2 cos (x) (- sin (x))

Vereinfache

3 \cdot 2 cos (x) (- sin (x)) : - 3 sin (2 x)

= - 3 sin (2 x)

n = 1 \sum \infty \frac{1}{2 ^{n} + 1}

\frac{d}{d x} (\frac{1}{e ^{x^{2}}})

\int \frac{1}{x ^{2} - 144} d x

\frac{\partial}{\partial x} (2 y^{3} - 6 y + x^{2})

\int_{0}^{\frac{π}{2}} x sin (x) d x