What is the derivative of cot(6x-x^2) ?

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

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

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

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\frac{d}{d x} (cot (6 x - x^{2}))

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

Solution steps

\frac{d}{d x} (cot (6 x - x^{2}))

Apply the chain rule:

- csc^{2} (6 x - x^{2}) \frac{d}{d x} (6 x - x^{2})

= - csc^{2} (6 x - x^{2}) \frac{d}{d x} (6 x - x^{2})

\frac{d}{d x} (6 x - x^{2}) = 6 - 2 x

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

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