derivative of 2cos(sin(x))

Lösung

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

- 2 sin (sin (x)) cos (x)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= 2 (- sin (sin (x)) cos (x))

Vereinfache

= - 2 sin (sin (x)) cos (x)

s l o p e y = 2 x^{2} + \frac{3}{x}

\int 4 sin^{3} (6 x) cos^{3} (6 x) d x

\int \frac{- 2 x y}{( x ^{2} + y ^{2} ) ^{2}} d y

x \to - 3 lim (3 x + 2)

\frac{\partial}{\partial x} (y cos (x) + sin (x))