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Beliebt Rechnen >

derivative of sin(ln(4x))

Lösung

\frac{d}{d x} (sin (ln (4 x)))

Lösung

\frac{cos ( ln ( 4 x ) )}{x}

Schritte zur Lösung

\frac{d}{d x} (sin (ln (4 x)))

Wende die Kettenregel an:

cos (ln (4 x)) \frac{d}{d x} (ln (4 x))

= cos (ln (4 x)) \frac{d}{d x} (ln (4 x))

\frac{d}{d x} (ln (4 x)) = \frac{1}{x}

= cos (ln (4 x)) \frac{1}{x}

Vereinfache

cos (ln (4 x)) \frac{1}{x} : \frac{cos ( ln ( 4 x ) )}{x}

= \frac{cos ( ln ( 4 x ) )}{x}

Graph

Beliebte Beispiele

limit as x approaches-1 of sqrt(16-4x)

x \to - 1 lim (16 - 4 x)

integral of ((y)ln(1+y))

\int ((y) ln (1 + y)) d y

integral of (2+5/7 x-6x^2)

\int (2 + \frac{5}{7} x - 6 x^{2}) d x

limit as x approaches 0 of ((x-1)^3-1)/x

x \to 0 lim (\frac{( x - 1 ) ^{3} - 1}{x})

integral of tan^4(5x)

\int tan^{4} (5 x) d x