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Beliebt Rechnen >

derivative f(x)=ln(sin(2x))

Lösung

ableitung von

f (x) = ln (sin (2 x))

Lösung

2 cot (2 x)

Schritte zur Lösung

\frac{d}{d x} (ln (sin (2 x)))

Wende die Kettenregel an:

\frac{1}{sin ( 2 x )} \frac{d}{d x} (sin (2 x))

= \frac{1}{sin ( 2 x )} \frac{d}{d x} (sin (2 x))

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

= \frac{1}{sin ( 2 x )} cos (2 x) \cdot 2

Vereinfache

\frac{1}{sin ( 2 x )} cos (2 x) \cdot 2 : 2 cot (2 x)

= 2 cot (2 x)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(ln(tan(x+y)))

\frac{\partial}{\partial x} (ln (tan (x + y)))

integral from 1 to-1 of (3e^x)

\int_{1}^{- 1} (3 e^{x}) d x

derivative of xe^{x^3}

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

inverselaplace 1/((s+3)^2+4)

in v erse l a pl a ce \frac{1}{( s + 3 ) ^{2} + 4}

x^2y^'-2x^3e^{-1/x}=y

x^{2} y^{^{'}} - 2 x^{3} e^{- \frac{1}{x}} = y