A Point Is Moving Along the Graph of the Function $y = \frac { 1 } { 8 x ^ { 2 } + 3 }$

question 64

Multiple Choice

A point is moving along the graph of the function $y = \frac { 1 } { 8 x ^ { 2 } + 3 }$ such that $\frac { d x } { d t } = 5$ centimeters per second. Find dy/dt when $x = 1$ .

• A) \(\frac { d y } { d t } = - \frac { 16 } { 121 }\)
• B) \(\frac { d y } { d t } = - \frac { 80 } { 121 }\)
• C) \(\frac { d y } { d t } = \frac { 80 } { 121 }\)
• D) \(\frac { d y } { d t } = \frac { 16 } { 121 }\)
• E) \(\frac { d y } { d t } = - \frac { 80 } { 11 }\)

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