What is the derivative of cot^4(x) ?

The derivative of cot^4(x) is -4cot^3(x)csc^2(x)

What is the first derivative of cot^4(x) ?

The first derivative of cot^4(x) is -4cot^3(x)csc^2(x)

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derivative of

cot^{4} (x)

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

Solution steps

\frac{d}{d x} (cot^{4} (x))

Apply the chain rule:

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

= 4 (cot (x))^{3} \frac{d}{d x} (cot (x))

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

= 4 (cot (x))^{3} (- csc^{2} (x))

Simplify

= - 4 cot^{3} (x) csc^{2} (x)

What is the derivative of cot^4(x) ?
The derivative of cot^4(x) is -4cot^3(x)csc^2(x)
What is the first derivative of cot^4(x) ?
The first derivative of cot^4(x) is -4cot^3(x)csc^2(x)