What is the derivative of cot^6(x) ?

The derivative of cot^6(x) is -6cot^5(x)csc^2(x)

What is the first derivative of cot^6(x) ?

The first derivative of cot^6(x) is -6cot^5(x)csc^2(x)

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derivative of

cot^{6} (x)

- 6 cot^{5} (x) csc^{2} (x)

Solution steps

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

Apply the chain rule:

6 (cot (x))^{5} \frac{d}{d x} (cot (x))

= 6 (cot (x))^{5} \frac{d}{d x} (cot (x))

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

= 6 (cot (x))^{5} (- csc^{2} (x))

Simplify

= - 6 cot^{5} (x) csc^{2} (x)

What is the derivative of cot^6(x) ?
The derivative of cot^6(x) is -6cot^5(x)csc^2(x)
What is the first derivative of cot^6(x) ?
The first derivative of cot^6(x) is -6cot^5(x)csc^2(x)