What is the derivative of cot(3x) ?

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

What is the first derivative of cot(3x) ?

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

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

- csc^{2} (3 x) \cdot 3

Solution steps

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

Apply the chain rule:

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

= - csc^{2} (3 x) \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= - csc^{2} (3 x) \cdot 3

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

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