What is the derivative of cot(3x-5) ?

The derivative of cot(3x-5) is -csc^2(3x-5)*3

What is the first derivative of cot(3x-5) ?

The first derivative of cot(3x-5) is -csc^2(3x-5)*3

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\frac{d}{d x} (cot (3 x - 5))

- csc^{2} (3 x - 5) \cdot 3

Solution steps

\frac{d}{d x} (cot (3 x - 5))

Apply the chain rule:

- csc^{2} (3 x - 5) \frac{d}{d x} (3 x - 5)

= - csc^{2} (3 x - 5) \frac{d}{d x} (3 x - 5)

\frac{d}{d x} (3 x - 5) = 3

= - csc^{2} (3 x - 5) \cdot 3

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What is the derivative of cot(3x-5) ?
The derivative of cot(3x-5) is -csc^2(3x-5)*3
What is the first derivative of cot(3x-5) ?
The first derivative of cot(3x-5) is -csc^2(3x-5)*3