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Beliebt Rechnen >

d/(dt)(3sin(3t))

Lösung

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

Lösung

9 cos (3 t)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= 3 cos (3 t) \cdot 3

Vereinfache

= 9 cos (3 t)

Graph

Beliebte Beispiele

((2y)/x+2x)+(2ln(x)-3)y^'=0

(\frac{2 y}{x} + 2 x) + (2 ln (x) - 3) y^{^{'}} = 0

(\partial)/(\partial x)((26x^2)/((x-y)^2))

\frac{\partial}{\partial x} (\frac{26 x ^{2}}{( x - y ) ^{2}})

tangent 1+4x^2-2x^3

t an g e n t 1 + 4 x^{2} - 2 x^{3}

derivative of sqrt(sin(x-1(x^3)))

\frac{d}{d x} (sin (x - 1) (x^{3}))

limit as x approaches 6 of 9

x \to 6 lim (9)