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Beliebt Rechnen >

derivative 5sin^2(t)

Lösung

ableitung von

5 sin^{2} (t)

Lösung

5 sin (2 t)

Schritte zur Lösung

\frac{d}{d t} (5 sin^{2} (t))

Entferne die Konstante:

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

= 5 \frac{d}{d t} (sin^{2} (t))

Wende die Kettenregel an:

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

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

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

= 5 \cdot 2 sin (t) cos (t)

Vereinfache

5 \cdot 2 sin (t) cos (t) : 5 sin (2 t)

= 5 sin (2 t)

Graph

Beliebte Beispiele

derivative of 4xsin(x^2)

\frac{d}{d x} (4 x sin (x^{2}))

derivative of (2-x/(sqrt(1-y)))

\frac{d}{d x} (\frac{2 - x}{1 - y})

integral of 1/4 sin(4x)

\int \frac{1}{4} sin (4 x) d x

steigung (-3,3),(4,-5)

s l o p e (- 3, 3), (4, - 5)

limit as x approaches-4 of (x+3)^2

x \to - 4 lim ((x + 3)^{2})