derivative of cot^3(x)

Lösung

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

- 3 cot^{2} (x) csc^{2} (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (cot (x)) = - csc^{2} (x)

= 3 (cot (x))^{2} (- csc^{2} (x))

Vereinfache

= - 3 cot^{2} (x) csc^{2} (x)

\int_{- 2}^{3} \frac{21}{x ^{4}} d x

x \to 3 lim (\frac{9 - x ^{2}}{3 - x})

\frac{d}{d θ} (4 sin (θ) cos^{2} (θ))

a re a 3 x, 4 x^{2}

\int_{0}^{4} (\frac{1}{4 - x}) d x