What is the derivative of cot(2x^2-1) ?

The derivative of cot(2x^2-1) is -csc^2(2x^2-1)*4x

What is the first derivative of cot(2x^2-1) ?

The first derivative of cot(2x^2-1) is -csc^2(2x^2-1)*4x

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\frac{d}{d x} (cot (2 x^{2} - 1))

- csc^{2} (2 x^{2} - 1) \cdot 4 x

Solution steps

\frac{d}{d x} (cot (2 x^{2} - 1))

Apply the chain rule:

- csc^{2} (2 x^{2} - 1) \frac{d}{d x} (2 x^{2} - 1)

= - csc^{2} (2 x^{2} - 1) \frac{d}{d x} (2 x^{2} - 1)

\frac{d}{d x} (2 x^{2} - 1) = 4 x

= - csc^{2} (2 x^{2} - 1) \cdot 4 x

What is the derivative of cot(2x^2-1) ?
The derivative of cot(2x^2-1) is -csc^2(2x^2-1)*4x
What is the first derivative of cot(2x^2-1) ?
The first derivative of cot(2x^2-1) is -csc^2(2x^2-1)*4x