What is the derivative of cot(2x^4-3x^2-4) ?

The derivative of cot(2x^4-3x^2-4) is -csc^2(2x^4-3x^2-4)(8x^3-6x)

What is the first derivative of cot(2x^4-3x^2-4) ?

The first derivative of cot(2x^4-3x^2-4) is -csc^2(2x^4-3x^2-4)(8x^3-6x)

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\frac{d}{d x} (cot (2 x^{4} - 3 x^{2} - 4))

- csc^{2} (2 x^{4} - 3 x^{2} - 4) (8 x^{3} - 6 x)

Solution steps

\frac{d}{d x} (cot (2 x^{4} - 3 x^{2} - 4))

Apply the chain rule:

- csc^{2} (2 x^{4} - 3 x^{2} - 4) \frac{d}{d x} (2 x^{4} - 3 x^{2} - 4)

= - csc^{2} (2 x^{4} - 3 x^{2} - 4) \frac{d}{d x} (2 x^{4} - 3 x^{2} - 4)

\frac{d}{d x} (2 x^{4} - 3 x^{2} - 4) = 8 x^{3} - 6 x

= - csc^{2} (2 x^{4} - 3 x^{2} - 4) (8 x^{3} - 6 x)

What is the derivative of cot(2x^4-3x^2-4) ?
The derivative of cot(2x^4-3x^2-4) is -csc^2(2x^4-3x^2-4)(8x^3-6x)
What is the first derivative of cot(2x^4-3x^2-4) ?
The first derivative of cot(2x^4-3x^2-4) is -csc^2(2x^4-3x^2-4)(8x^3-6x)