(\partial)/(\partial x)(a/s cos^2(x))

Lösung

\frac{\partial}{\partial x} (\frac{a}{s} cos^{2} (x))

- \frac{a sin ( 2 x )}{s}

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{a}{s} cos^{2} (x))

Behandle

a, s

als Konstante

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= \frac{a}{s} \cdot 2 cos (x) (- sin (x))

Vereinfache

\frac{a}{s} \cdot 2 cos (x) (- sin (x)) : - \frac{a sin ( 2 x )}{s}

= - \frac{a sin ( 2 x )}{s}

n = 1 \sum \infty \frac{n - 6}{n + 6}

x y^{^{'}} + y + 4 = 0

\frac{\partial}{\partial x} (2 x e^{4 x y})

\int x^{3} (4 - x^{2})^{\frac{1}{4}} d x

\int_{0}^{1} x^{2} (x + 1)^{6} d x