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Beliebt Rechnen >

d/(dt)(2cos(3t))

Lösung

\frac{d}{d t} (2 cos (3 t))

Lösung

- 6 sin (3 t)

Schritte zur Lösung

\frac{d}{d t} (2 cos (3 t))

Entferne die Konstante:

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

= 2 \frac{d}{d t} (cos (3 t))

Wende die Kettenregel an:

- sin (3 t) \frac{d}{d t} (3 t)

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

\frac{d}{d t} (3 t) = 3

= 2 (- sin (3 t) \cdot 3)

Vereinfache

= - 6 sin (3 t)

Graph

Beliebte Beispiele

integral from 0 to 9/10 of 1/((100x^2+1)^{3/2)}

\int_{0}^{\frac{9}{10}} \frac{1}{( 100 x ^{2} + 1 ) ^{\frac{3}{2}}} d x

12x^3-3y^2sqrt(x^4+1)*y^'=0

12 x^{3} - 3 y^{2} x^{4} + 1 \cdot y^{^{'}} = 0

integral of 1/((x^2-49)^2)

\int \frac{1}{( x ^{2} - 49 ) ^{2}} d x

derivative f(x)=sqrt(2x+2)

d er i v a t i v e f (x) = 2 x + 2

limit as x approaches 4 of 7/(x-4)

x \to 4 lim (\frac{7}{x - 4})