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Beliebt Rechnen >

derivative of cot^7(x)

Lösung

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

Lösung

- 7 cot^{6} (x) csc^{2} (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

7 (cot (x))^{6} \frac{d}{d x} (cot (x))

= 7 (cot (x))^{6} \frac{d}{d x} (cot (x))

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

= 7 (cot (x))^{6} (- csc^{2} (x))

Vereinfache

= - 7 cot^{6} (x) csc^{2} (x)

Graph

Beliebte Beispiele

2yy^'+2=y^2+2x,y(0)=4

2 y y^{^{'}} + 2 = y^{2} + 2 x, y (0) = 4

derivative (2x)/((x^2+1)^2)

d er i v a t i v e \frac{2 x}{( x ^{2} + 1 ) ^{2}}

derivative of x^3+2x^2-x+4

\frac{d}{d x} (x^{3} + 2 x^{2} - x + 4)

integral of 1/(x^2-x^3)

\int \frac{1}{x ^{2} - x ^{3}} d x

(\partial)/(\partial x)(ln(2x-y))

\frac{\partial}{\partial x} (ln (2 x - y))