derivative 2-2cos^2(x)

Lösung

ableitung von

2 - 2 cos^{2} (x)

2 sin (2 x)

Schritte zur Lösung

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

Vereinfache

2 - 2 cos^{2} (x) : 2 sin^{2} (x)

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= 2 sin (2 x)

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

n = 0 \sum \infty sin (n)

d er i v a t i v e 3 + 2 x

d er i v a t i v e (x^{3} + 3) e^{x}

n = 1 \sum \infty \frac{1}{( n ( n + 3 ) )}