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Beliebt Rechnen >

derivative of 1/5 sin(5x)

Lösung

\frac{d}{d x} (\frac{1}{5} sin (5 x))

Lösung

cos (5 x)

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{5} sin (5 x))

Entferne die Konstante:

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

= \frac{1}{5} \frac{d}{d x} (sin (5 x))

Wende die Kettenregel an:

cos (5 x) \frac{d}{d x} (5 x)

= cos (5 x) \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= \frac{1}{5} cos (5 x) \cdot 5

Vereinfache

\frac{1}{5} cos (5 x) \cdot 5 : cos (5 x)

= cos (5 x)

Graph

Beliebte Beispiele

integral of 1/(sin^2(5x))

\int \frac{1}{sin ^{2} ( 5 x )} d x

\frac{d t}{d t}

integral of sin(r^2)r

\int sin (r^{2}) r d r

limit as x approaches infinity of 0.5x^2

x \to \infty lim (0.5 x^{2})

derivative of 4x^{2pi}

\frac{d}{d x} (4 x^{2 π})