(\partial)/(\partial y)(sin(x-y)+(x+y))

Lösung

\frac{\partial}{\partial y} (sin (x - y) + (x + y))

- cos (x - y) + 1

Schritte zur Lösung

\frac{\partial}{\partial y} (sin (x - y) + (x + y))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial y} (x) = 0

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

= - cos (x - y) + 0 + 1

Vereinfache

= - cos (x - y) + 1

\frac{d y}{d x} = 6 y e^{x + 4}

d er i v a t i v e t^{2} + 2 t - 3

\frac{\partial}{\partial x} (\frac{( x - y )}{x})

n = 1 \sum \infty \frac{2}{3 n + 9}

\int_{l n (x)}^{1} sin^{3} (u) d u