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Beliebt Rechnen >

derivative of cos(x(1+sin(x)^{10}))

Lösung

\frac{d}{d x} (cos (x (1 + sin (x))^{10}))

Lösung

- sin (x (1 + sin (x))^{10}) ((1 + sin (x))^{10} + 10 x cos (x) (1 + sin (x))^{9})

Schritte zur Lösung

\frac{d}{d x} (cos (x (1 + sin (x))^{10}))

Wende die Kettenregel an:

- sin (x (1 + sin (x))^{10}) \frac{d}{d x} (x (1 + sin (x))^{10})

= - sin (x (1 + sin (x))^{10}) \frac{d}{d x} (x (1 + sin (x))^{10})

\frac{d}{d x} (x (1 + sin (x))^{10}) = (1 + sin (x))^{10} + 10 x cos (x) (1 + sin (x))^{9}

= - sin (x (1 + sin (x))^{10}) ((1 + sin (x))^{10} + 10 x cos (x) (1 + sin (x))^{9})

Graph

Beliebte Beispiele

f(x)=2cos(x^3)-2/x

f (x) = 2 cos (x^{3}) - \frac{2}{x}

f(p)=sqrt(325-3p)

f (p) = 325 - 3 p

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