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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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