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

Lösung

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

- sin (x - y) + 1

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

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

Vereinfache

= - sin (x - y) + 1

a re a y = x, y = 2 x 25 - x^{2}

\int_{- 2}^{2} - 2 x^{2} + 8 d x

d er i v a t i v e f (x) = \frac{- 2}{x ^{2}}

d er i v a t i v e \frac{1}{x ^{2} + 18 x + 88}

d er i v a t i v e y = x (x - 4)