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

Lösung

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

sin (x - y)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= sin (x - y)

x \to 4 - lim (3 (x) - 5)

\frac{d}{d x} (\frac{8 e ^{x} + 5 e ^{- x}}{8})

d er i v a t i v e f (x) = 10 - 5 x

\int \frac{4 x ^{5} + 2 x ^{3} + x - 1}{x ^{2}} d x

\int (\frac{1}{x ^{9}} - x^{9} - \frac{1}{2}) d x