d/(dt)((s)(3/(4pi)cos(4t)+3/(7pi)sin(7t)))

Lösung

\frac{d}{d t} ((s) (\frac{3}{4 π} cos (4 t) + \frac{3}{7 π} sin (7 t)))

s (- \frac{3}{π} sin (4 t) + \frac{3}{π} cos (7 t))

Schritte zur Lösung

\frac{d}{d t} ((s) (\frac{3}{4 π} cos (4 t) + \frac{3}{7 π} sin (7 t)))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= s \frac{d}{d t} (\frac{3}{4 π} cos (4 t) + \frac{3}{7 π} sin (7 t))

Wende die Summen-/Differenzregel an:

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

= s (\frac{d}{d t} (\frac{3}{4 π} cos (4 t)) + \frac{d}{d t} (\frac{3}{7 π} sin (7 t)))

\frac{d}{d t} (\frac{3}{4 π} cos (4 t)) = - \frac{3}{π} sin (4 t)

\frac{d}{d t} (\frac{3}{7 π} sin (7 t)) = \frac{3}{π} cos (7 t)

= s (- \frac{3}{π} sin (4 t) + \frac{3}{π} cos (7 t))

e x p an d \frac{1}{2 ( x + 7 )}

e x p an d - 5 (\frac{- 5 - 3 y}{10} - 4 y = 10)

e x p an d \frac{1}{( s ^{3} ( s ^{2} + w ^{2} ) )}

e x p an d \frac{0.114 + x}{( 1.448 - 2 x ) ^{2}}

e x p an d (- 2 i, 3 j, - 1 k) - (3 i - 2 j, - 1 k)