(\partial)/(\partial z)(5xsin(y-z))

Lösung

\frac{\partial}{\partial z} (5 x sin (y - z))

- 5 x cos (y - z)

Schritte zur Lösung

\frac{\partial}{\partial z} (5 x sin (y - z))

Behandle

x, y

als Konstanten

Entferne die Konstante:

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

= 5 x \frac{\partial}{\partial z} (sin (y - z))

Wende die Kettenregel an:

cos (y - z) \frac{\partial}{\partial z} (y - z)

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

\frac{\partial}{\partial z} (y - z) = - 1

= 5 x cos (y - z) (- 1)

Vereinfache

= - 5 x cos (y - z)

a re a f (x) = \frac{1}{7 ( 1 + x ^{2} )}, g (x) = \frac{1}{14 x ^{2}}

\int \frac{x ^{2} + 2}{x ^{3} + 3 x ^{2} + 2 x} d x

\int_{1}^{e} ln (17 x) d x

\frac{d y}{d t} = 5

n = 1 \sum \infty sin (n)