Find the Derivative $$p = \frac { 4 + \sec q } { 4 - \sec q }$$

question 149

Multiple Choice

Find the derivative.
- $$p = \frac { 4 + \sec q } { 4 - \sec q }$$

• A) \(\frac { d p } { d q } = \frac { 8 \tan ^ { 2 } q } { ( 4 - \sec q ) ^ { 2 } }\)
• B) \(\frac { d p } { d q } = \frac { 8 \sin q } { ( 4 \cos q - 1 ) ^ { 2 } }\)
• C) \(\frac { d p } { d q } = - \frac { 8 \sin q } { ( 4 \cos q - 1 ) ^ { 2 } }\)
• D) \(\frac { d p } { d q } = - \frac { 2 \sec ^ { 2 } q \tan q } { ( 4 - \sec q ) ^ { 2 } }\)

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