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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Definitions:

Difference Threshold

The minimum difference in stimulation that a person can detect 50 percent of the time.

Relative Magnitude

The comparison of the size, extent, or importance of something in relation to another.

Difference Threshold

The least variation in stimulation that an individual is able to recognize 50% of the occasions, commonly termed as the just noticeable difference (JND).

Marginal Intensity

Marginal intensity refers to the change in the level of intensity or satisfaction gained from consuming an additional unit of a resource or performing an additional unit of activity.