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Beliebt Rechnen >

d/(dt)(sqrt(2)sin(t)+sqrt(2))

Lösung

\frac{d}{d t} (2 sin (t) + 2)

Lösung

2 cos (t)

Schritte zur Lösung

\frac{d}{d t} (2 sin (t) + 2)

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d t} (2) = 0

= 2 cos (t) + 0

Vereinfache

= 2 cos (t)

Graph

Beliebte Beispiele

derivative of e^{0.2x}

\frac{d}{d x} (e^{0.2 x})

integral of x^4-2x^3+2

\int x^{4} - 2 x^{3} + 2 d x

integral of 16x^3cos(2-x^4)

\int 16 x^{3} cos (2 - x^{4}) d x

\frac{d}{d u} (cos (u))

y^{''}+2y^'+y=0,y(0)=4,y^'(0)=-3

y^{^{''}} + 2 y^{^{'}} + y = 0, y (0) = 4, y^{^{'}} (0) = - 3