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Popular >

derivative of csc^2(x-2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

= 2 csc (x - 2) (- cot (x - 2) csc (x - 2))

Simplify

2 csc (x - 2) (- cot (x - 2) csc (x - 2)) : - 2 csc^{2} (x - 2) cot (x - 2)

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

Graph

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Frequently Asked Questions (FAQ)

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