derivative of 2cos(x-xsin(x))

Lösung

\frac{d}{d x} (2 cos (x) - x sin (x))

- 3 sin (x) - x cos (x)

Schritte zur Lösung

\frac{d}{d x} (2 cos (x) - x sin (x))

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (x sin (x)) = sin (x) + x cos (x)

= - 2 sin (x) - (sin (x) + x cos (x))

Vereinfache

= - 3 sin (x) - x cos (x)

y^{^{''}} - 5 y^{^{'}} + 6 y = - sin (5 t)

im pl i c i t \frac{d y}{d x}, \frac{6 x}{y ^{7}} = 4

\frac{\partial}{\partial t} (e^{t} cos (x))

l a pl a ce t r an s f or m 20 t e^{- 2 t} \cdot sin (4 t)

d er i v a t i v e ln (ln (x))