Find the Second Derivative of the Function $$r = \left( \frac { 1 + 6 \theta } { 6 \theta } \right) ( 6 - \theta )$$

question 486

Multiple Choice

Find the second derivative of the function.
- $$r = \left( \frac { 1 + 6 \theta } { 6 \theta } \right) ( 6 - \theta )$$

• A) \(\frac { d ^ { 2 } r } { d \theta ^ { 2 } } = - \frac { 2 } { \theta ^ { 3 } } - 1\)
• B) \(\frac { d ^ { 2 } r } { d \theta ^ { 2 } } = \frac { 1 } { \theta } - \theta\)
• C) \(\frac { d ^ { 2 } r } { d \theta ^ { 2 } } = - \frac { 1 } { \theta ^ { 2 } } - 1\)
• D) \(\frac { \mathrm { d } ^ { 2 } \mathbf { r } } { \mathrm { d } \theta ^ { 2 } } = \frac { 2 } { \theta ^ { 3 } }\)

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