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Popular >

derivative of cot^3(4x+1)

Solution

derivative of

cot^{3} (4 x + 1)

Solution

- 12 cot^{2} (4 x + 1) csc^{2} (4 x + 1)

Solution steps

\frac{d}{d x} (cot^{3} (4 x + 1))

Apply the chain rule:

3 (cot (4 x + 1))^{2} \frac{d}{d x} (cot (4 x + 1))

= 3 (cot (4 x + 1))^{2} \frac{d}{d x} (cot (4 x + 1))

\frac{d}{d x} (cot (4 x + 1)) = - csc^{2} (4 x + 1) \cdot 4

= 3 (cot (4 x + 1))^{2} (- csc^{2} (4 x + 1) \cdot 4)

Simplify

= - 12 cot^{2} (4 x + 1) csc^{2} (4 x + 1)

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Frequently Asked Questions (FAQ)

What is the derivative of cot^3(4x+1) ?
The derivative of cot^3(4x+1) is -12cot^2(4x+1)csc^2(4x+1)
What is the first derivative of cot^3(4x+1) ?
The first derivative of cot^3(4x+1) is -12cot^2(4x+1)csc^2(4x+1)