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Beliebt Rechnen >

derivative of 8ln(sin(x))

Lösung

\frac{d}{d x} (8 ln (sin (x)))

Lösung

8 cot (x)

Schritte zur Lösung

\frac{d}{d x} (8 ln (sin (x)))

Entferne die Konstante:

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

= 8 \frac{d}{d x} (ln (sin (x)))

Wende die Kettenregel an:

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

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

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

= 8 \cdot \frac{1}{sin ( x )} cos (x)

Vereinfache

8 \cdot \frac{1}{sin ( x )} cos (x) : 8 cot (x)

= 8 cot (x)

Graph

Beliebte Beispiele

integral of e^{6x}(6)

\int e^{6 x} (6) d x

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

integral of (6t^3-t^2+24t)/(t^2+4)

\int \frac{6 t ^{3} - t ^{2} + 24 t}{t ^{2} + 4} d t

inverselaplace-(5s)/(((s+1)^2+3))

in v erse l a pl a ce - \frac{5 s}{( ( s + 1 ) ^{2} + 3 )}

derivative of e^{x^3}y

\frac{d}{d x} (e^{x^{3}} y)