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Beliebt Rechnen >

derivative of sin(9cos(x))

Lösung

\frac{d}{d x} (sin (9 cos (x)))

Lösung

- 9 cos (9 cos (x)) sin (x)

Schritte zur Lösung

\frac{d}{d x} (sin (9 cos (x)))

Wende die Kettenregel an:

cos (9 cos (x)) \frac{d}{d x} (9 cos (x))

= cos (9 cos (x)) \frac{d}{d x} (9 cos (x))

\frac{d}{d x} (9 cos (x)) = - 9 sin (x)

= cos (9 cos (x)) (- 9 sin (x))

Vereinfache

= - 9 cos (9 cos (x)) sin (x)

Graph

Beliebte Beispiele

integral of 2/(1+x^2)

\int \frac{2}{1 + x ^{2}} d x

limit as x approaches-infinity of (-1)/x

x \to - \infty lim (\frac{- 1}{x})

integral of 1/(x^2sqrt(9x^2-4))

\int \frac{1}{x ^{2} 9 x ^{2} - 4} d x

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

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

derivative of-4/(1-4x)

\frac{d}{d x} (- \frac{4}{1 - 4 x})