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Popular >

derivative of cot(3x^4-2x^3-3)

Solution

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

Solution

- csc^{2} (3 x^{4} - 2 x^{3} - 3) (12 x^{3} - 6 x^{2})

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{4} - 2 x^{3} - 3) = 12 x^{3} - 6 x^{2}

= - csc^{2} (3 x^{4} - 2 x^{3} - 3) (12 x^{3} - 6 x^{2})

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Frequently Asked Questions (FAQ)

What is the derivative of cot(3x^4-2x^3-3) ?
The derivative of cot(3x^4-2x^3-3) is -csc^2(3x^4-2x^3-3)(12x^3-6x^2)
What is the first derivative of cot(3x^4-2x^3-3) ?
The first derivative of cot(3x^4-2x^3-3) is -csc^2(3x^4-2x^3-3)(12x^3-6x^2)