(\partial)/(\partial x)(-ae^{kz}wsin(kx-wt))

Lösung

\frac{\partial}{\partial x} (- a e^{k z} w sin (k x - wt))

- a e^{k z} w cos (k x - wt) k

Schritte zur Lösung

\frac{\partial}{\partial x} (- a e^{k z} w sin (k x - wt))

Behandle

a, k, z, w, t

als Konstanten

Entferne die Konstante:

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

= - a e^{k z} w \frac{\partial}{\partial x} (sin (k x - wt))

Wende die Kettenregel an:

cos (k x - wt) \frac{\partial}{\partial x} (k x - wt)

= cos (k x - wt) \frac{\partial}{\partial x} (k x - wt)

\frac{\partial}{\partial x} (k x - wt) = k

= - a e^{k z} w cos (k x - wt) k

y^{^{''}} - 5 y^{^{'}} = 25 t, y (0) = 5, y^{^{'}} (0) = 0

\int_{0}^{2} x 4 - x^{2} d x

\int \frac{arctan ( x )}{( 1 + x ^{2} ) ^{\frac{3}{2}}} d x

\int 12 x^{2} (x^{3} + 4)^{3} d x

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