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Beliebt Rechnen >

d/(dt)(acos(2t)+bsin(2t))

Lösung

\frac{d}{d t} (a cos (2 t) + b sin (2 t))

Lösung

- 2 a sin (2 t) + b cos (2 t) \cdot 2

Schritte zur Lösung

\frac{d}{d t} (a cos (2 t) + b sin (2 t))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (a cos (2 t)) + \frac{d}{d t} (b sin (2 t))

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

\frac{d}{d t} (b sin (2 t)) = b cos (2 t) \cdot 2

= - 2 a sin (2 t) + b cos (2 t) \cdot 2

Graph

Beliebte Beispiele

integral of sin^2(x-y)

\int sin^{2} (x - y) d y

tangent y=x^2+2x+10,\at x=6

t an g e n t y = x^{2} + 2 x + 10, at x = 6

(dy)/(dx)=2y+x^2e^{2x}+5

\frac{d y}{d x} = 2 y + x^{2} e^{2 x} + 5

limit as x approaches 0 of 2400x-2x^2

x \to 0 lim (2400 x - 2 x^{2})

limit as x approaches 1 of x/((x-1))

x \to 1 lim (\frac{x}{( x - 1 )})