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Beliebt Rechnen >

d/(dt)(acos(3t)+bsin(3t))

Lösung

\frac{d}{d t} (a cos (3 t) + b sin (3 t))

Lösung

- 3 a sin (3 t) + b cos (3 t) \cdot 3

Schritte zur Lösung

\frac{d}{d t} (a cos (3 t) + b sin (3 t))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (a cos (3 t)) + \frac{d}{d t} (b sin (3 t))

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

\frac{d}{d t} (b sin (3 t)) = b cos (3 t) \cdot 3

= - 3 a sin (3 t) + b cos (3 t) \cdot 3

Graph

Beliebte Beispiele

(\partial)/(\partial a)(a/(sin(θ)))

\frac{\partial}{\partial a} (\frac{a}{sin ( θ )})

x(dy)/(dx)=y+sqrt(x^2+y^2)

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

derivative f(x)=4sqrt(x)-x

d er i v a t i v e f (x) = 4 x - x

derivative of cos^3(x/(x+1))

\frac{d}{d x} (cos^{3} (\frac{x}{x + 1}))

limit as x approaches infinity of x-5

x \to \infty lim (x - 5)