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Beliebt Rechnen >

derivative of cot^8(x)

Lösung

\frac{d}{d x} (cot^{8} (x))

Lösung

- 8 cot^{7} (x) csc^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (cot^{8} (x))

Wende die Kettenregel an:

8 (cot (x))^{7} \frac{d}{d x} (cot (x))

= 8 (cot (x))^{7} \frac{d}{d x} (cot (x))

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

= 8 (cot (x))^{7} (- csc^{2} (x))

Vereinfache

= - 8 cot^{7} (x) csc^{2} (x)

Graph

Beliebte Beispiele

integral of (x^2)/((x^2-1)^2)

\int \frac{x ^{2}}{( x ^{2} - 1 ) ^{2}} d x

inverselaplace-1/(s^4)

in v erse l a pl a ce - \frac{1}{s ^{4}}

derivative of sin(1-1/x)

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

integral from 0 to pi of 16sin^4(x)

\int_{0}^{π} 16 sin^{4} (x) d x

x^3y^'+2x^2y=-2cos(2x)y^{-1/2}

x^{3} y^{^{'}} + 2 x^{2} y = - 2 cos (2 x) y^{- \frac{1}{2}}