Find the Derivative of the Function $$r = \frac { \sqrt { \theta } - 8 } { \sqrt { \theta } + 8 }$$

question 33

Multiple Choice

Find the derivative of the function.
- $$r = \frac { \sqrt { \theta } - 8 } { \sqrt { \theta } + 8 }$$

• A) \(r ^ { \prime } = - \frac { 8 } { \sqrt { \theta } ( \theta + 8 ) ^ { 2 } }\)
• B) \(\mathrm { r } ^ { \prime } = \frac { 8 } { \sqrt { \theta } ( \theta + 8 ) ^ { 2 } }\)
• C) \(r ^ { \prime } = \frac { 16 } { ( \theta + 8 ) \sqrt { \theta ^ { 2 } - 64 } }\)
• D) \(\mathrm { r } ^ { \prime } = \frac { 8 } { \theta + 8 }\)

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