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Popular >

derivative of cot^2(3-2x)

Solution

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

Solution

4 csc^{2} (3 - 2 x) cot (3 - 2 x)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 cot (3 - 2 x) \cdot 2 csc^{2} (3 - 2 x)

Simplify

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

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\int_{- 3}^{2} ((6 - x) - (x^{2})) d x

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Frequently Asked Questions (FAQ)

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