Calculate the Derivative of the Function $\left. \frac { \mathrm { dr } } { \mathrm { d } \theta } \right| _ { \theta = 3 }$

question 520

Multiple Choice

Calculate the derivative of the function. Then find the value of the derivative as specified.
- $\left. \frac { \mathrm { dr } } { \mathrm { d } \theta } \right| _ { \theta = 3 }$ if $\mathrm { r } = \frac { 4 } { \sqrt { 28 - \theta } }$

• A) \(\frac { \mathrm { dr } } { \mathrm { d } \theta } = \frac { 2 } { ( 28 - \theta ) ^ { 3 / 2 } } ; \frac { \mathrm { dr } } { \mathrm { d } \theta } \mid \theta = 3 = \frac { 2 } { 125 }\)
• B) \(\frac { \mathrm { dr } } { \mathrm { d } \theta } = - \frac { 4 } { ( 28 - \theta ) ^ { 3 / 2 } } ; \frac { \mathrm { dr } } { \mathrm { d } \theta } \mid \theta = 3 = - \frac { 4 } { 125 }\)
• C) \(\frac { \mathrm { dr } } { \mathrm { d } \theta } = \frac { 4 } { ( 28 - \theta ) ^ { 3 / 2 } } ; \left. \frac { \mathrm { dr } } { \mathrm { d } \theta } \right| _ { \theta = 3 } = \frac { 4 } { 125 }\)
• D) \(\frac { \mathrm { dr } } { \mathrm { d } \theta } = - \frac { 2 } { ( 28 - \theta ) ^ { 3 / 2 } } ; \left. \frac { \mathrm { dr } } { \mathrm { d } \theta } \right| _ { \theta = 3 } = - \frac { 2 } { 125 }\)

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