Use the Alternative Form of the Derivative to Find the Derivative

question 161

Multiple Choice

Use the alternative form of the derivative to find the derivative of the function $$f ( x ) = \frac { 3 } { x ^ { 2 } } \text { at } x = 2$$

• A) \(f ^ { t } ( 2 ) = \frac { 3 } { 4 }\)
• B) \(f ^ { t } ( 2 ) = - \frac { 3 } { 4 }\)
• C) \(f ^ { t } ( 2 ) = \frac { 3 } { 8 }\)
• D) \(f ^ { t} ( 2 ) = - \frac { 3 } { 2 }\)
• E) \(f ^ { t } ( 2 ) = - \frac { 9 } { 16 }\)

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Definitions:

Posterior Sacral Foramina

Openings in the sacrum bone that allow nerves and blood vessels to pass through.

Coccyx

A small, triangular bone at the base of the spinal column in humans, composed of fused vestigial vertebrae.

Radius

One of the two large bones in the forearm, located on the side of the thumb.

Carpals

Bones forming the wrist that connect the hand to the forearm.