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Beliebt Rechnen >

derivative of cos(ln(x^4))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= - sin (ln (x^{4})) \frac{d}{d x} (ln (x^{4}))

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

= - sin (ln (x^{4})) \frac{4}{x}

Vereinfache

- sin (ln (x^{4})) \frac{4}{x} : - \frac{4 sin ( 4 ln ( x ) )}{x}

= - \frac{4 sin ( 4 ln ( x ) )}{x}

Graph

Beliebte Beispiele

integral from 0 to 2 of (-2x^2-4)

\int_{0}^{2} (- 2 x^{2} - 4) d x

derivative of (2x-1^5)

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

integral of 1/(tan(x)-sin(x))

\int \frac{1}{tan ( x ) - sin ( x )} d x

integral of e^{5x+1}

\int e^{5 x + 1} d x

integral of x^2e^{3x^3}

\int x^{2} e^{3 x^{3}} d x