derivative of acos^2(x)

Lösung

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

- a sin (2 x)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

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)

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

Vereinfache

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

= - a sin (2 x)

n = 0 \sum \infty 4

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

\frac{\partial}{\partial x} (f (x, y) x (x, y))

\frac{d y}{d x} = 8 y

t an g e n t f (x) = (\frac{2}{x - 2}), at x = 4