(\partial)/(\partial z)(cos(z){w}(z))

Lösung

\frac{\partial}{\partial z} (cos (z) w (z))

- sin (z) w (z) + cos (z) \frac{\partial}{\partial z} (w (z))

Schritte zur Lösung

\frac{\partial}{\partial z} (cos (z) w (z))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = cos (z), g = w (z)

= \frac{\partial}{\partial z} (cos (z)) w (z) + \frac{\partial}{\partial z} (w (z)) cos (z)

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

= (- sin (z)) w (z) + \frac{\partial}{\partial z} (w (z)) cos (z)

Vereinfache

= - sin (z) w (z) + cos (z) \frac{\partial}{\partial z} (w (z))

\frac{d y}{d t} = 2 (1 - y), y (0) = 0

t an g e n t y = \frac{8 x}{x ^{2} + 1}, (0, 0)

(x^{4} + 1) d y + x (1 + 4 y^{2}) d x = 0

n = 0 \sum \infty \frac{n ^{2}}{5 ^{n}}

\int e^{- 2 s} d s