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Beliebt Rechnen >

derivative y=2sin(x)+ce^{-x}cos(x)

Lösung

ableitung von

y = 2 sin (x) + c e^{- x} cos (x)

Lösung

2 cos (x) + c (- e^{- x} cos (x) - e^{- x} sin (x))

Schritte zur Lösung

\frac{d}{d x} (2 sin (x) + c e^{- x} cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 sin (x)) + \frac{d}{d x} (c e^{- x} cos (x))

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

\frac{d}{d x} (c e^{- x} cos (x)) = c (- e^{- x} cos (x) - e^{- x} sin (x))

= 2 cos (x) + c (- e^{- x} cos (x) - e^{- x} sin (x))

Graph

Beliebte Beispiele

18y^{''}+9y^'-2y=0

18 y^{^{''}} + 9 y^{^{'}} - 2 y = 0

y^{^{'}} = 3 x^{2} + 1

inverselaplace (5s-2)/(7s^2-s-11)

in v erse l a pl a ce \frac{5 s - 2}{7 s ^{2} - s - 11}

limit as x approaches-infinity of x-2

x \to - \infty lim (x - 2)

integral of (x-6)^2(x+8)

\int (x - 6)^{2} (x + 8) d x