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Beliebt Rechnen >

derivative of sin(ln(2x))

Lösung

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

Lösung

\frac{cos ( ln ( 2 x ) )}{x}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= cos (ln (2 x)) \frac{d}{d x} (ln (2 x))

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

= cos (ln (2 x)) \frac{1}{x}

Vereinfache

cos (ln (2 x)) \frac{1}{x} : \frac{cos ( ln ( 2 x ) )}{x}

= \frac{cos ( ln ( 2 x ) )}{x}

Graph

Beliebte Beispiele

(d^2)/(dx^2)(1/(2+t))

\frac{d ^{2}}{d x ^{2}} (\frac{1}{2 + t})

integral of (e^{x^2})/(x^2)

\int \frac{e ^{x^{2}}}{x ^{2}} d x

derivative of-cos^3(x)

\frac{d}{d x} (- cos^{3} (x))

integral from 0 to pi of 5sin^2(xco)s^4x

\int_{0}^{π} 5 sin^{2} (x co) s^{4} x d x

derivative of e^xcot(y+2ycsc(y))

\frac{d}{d x} (e^{x} cot (y) + 2 y csc (y))