(\partial)/(\partial x)(e^{cos(x-2y)})

Lösung

\frac{\partial}{\partial x} (e^{c o s (x - 2 y)})

- e^{c o s (x - 2 y)} sin (x - 2 y)

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{c o s (x - 2 y)})

Behandle

y

als Konstante

Wende die Kettenregel an:

e^{c o s (x - 2 y)} \frac{\partial}{\partial x} (cos (x - 2 y))

= e^{c o s (x - 2 y)} \frac{\partial}{\partial x} (cos (x - 2 y))

\frac{\partial}{\partial x} (cos (x - 2 y)) = - sin (x - 2 y)

= e^{c o s (x - 2 y)} (- sin (x - 2 y))

Vereinfache

= - e^{c o s (x - 2 y)} sin (x - 2 y)

in v erse l a pl a ce \frac{( 7 s + 2 )}{s ^{2} + 6 s + 34}

x \to 9 + lim (\frac{7}{x - 9})

\int e^{y} cos (x) d x

d er i v a t i v e \frac{sin ( 2 x )}{2}

\int_{0}^{3} x^{2} - 2 x d x