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Beliebt Rechnen >

derivative f(x)=cos^5(x)

Lösung

ableitung von

f (x) = cos^{5} (x)

Lösung

- 5 cos^{4} (x) sin (x)

Schritte zur Lösung

\frac{d}{d x} (cos^{5} (x))

Wende die Kettenregel an:

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

= 5 (cos (x))^{4} \frac{d}{d x} (cos (x))

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

= 5 (cos (x))^{4} (- sin (x))

Vereinfache

= - 5 cos^{4} (x) sin (x)

Graph

Beliebte Beispiele

derivative arcsec(1/(4t^5))

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sum from n=0 to infinity of (z^n)/(n^2)

n = 0 \sum \infty \frac{z ^{n}}{n ^{2}}

integral of 2x^{13}e^{-x^7}

\int 2 x^{13} e^{- x^{7}} d x

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\int x^{3} 64 + x^{2} d x

(d^6)/(dx^6)(sin(x^2))

\frac{d ^{6}}{d x ^{6}} (sin (x^{2}))