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Popular >

derivative of csc^2(3x)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

2 csc (3 x) \frac{d}{d x} (csc (3 x))

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

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

= 2 csc (3 x) (- cot (3 x) csc (3 x) \cdot 3)

Simplify

2 csc (3 x) (- cot (3 x) csc (3 x) \cdot 3) : - 6 csc^{2} (3 x) cot (3 x)

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

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Frequently Asked Questions (FAQ)

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