Find the Derivative of the Function $$r = ( \sec \theta + \tan \theta ) ^ { - 2 }$$

question 186

Multiple Choice

Find the derivative of the function.
- $$r = ( \sec \theta + \tan \theta ) ^ { - 2 }$$

• A) \(- 2 ( \sec \theta + \tan \theta ) ^ { - 3 }\)
• B) \(- 2 \left( \sec \theta \tan \theta + \sec ^ { 2 } \theta \right) ^ { - 3 }\)
• C) \(\frac { - 2 \sec \theta } { ( \sec \theta + \tan \theta ) ^ { 2 } }\)
• D) \(- 2 ( \sec \theta + \tan \theta ) ^ { - 3 } \left( \tan ^ { 2 } \theta + \sec \theta \tan \theta \right)\)

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Definitions:

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The aggregate or full quantity of something, often referring to the sum total in a financial context.

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