derivative of cos^3(x/3)

Lösung

\frac{d}{d x} (cos^{3} (\frac{x}{3}))

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

Schritte zur Lösung

\frac{d}{d x} (cos^{3} (\frac{x}{3}))

Wende die Kettenregel an:

3 (cos (\frac{x}{3}))^{2} \frac{d}{d x} (cos (\frac{x}{3}))

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

\frac{d}{d x} (cos (\frac{x}{3})) = - sin (\frac{x}{3}) \frac{1}{3}

= 3 (cos (\frac{x}{3}))^{2} (- sin (\frac{x}{3}) \frac{1}{3})

Vereinfache

3 cos^{2} (\frac{x}{3}) (- sin (\frac{x}{3}) \frac{1}{3}) : - cos^{2} (\frac{x}{3}) sin (\frac{x}{3})

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

y^{^{''}} - 4 y^{^{'}} + 21 y = 0

\int (x^{2} + sin (x)) d x

\frac{d}{d x} (a^{2} - x^{2})

d er i v a t i v e y = 5 x + 2

k = 3 \sum \infty \frac{3}{k ^{2} - 2 k}