What is the derivative of cot^2(2x) ?

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

What is the first derivative of cot^2(2x) ?

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

n = 1 \sum \infty \frac{23}{2 n}

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