$\text { Use the Quotient Rule to differentiate the function } f ( x ) = \frac { 8 x } { x ^ { 5 } + 3 } \text {. }$

question 111

Multiple Choice

$\text { Use the Quotient Rule to differentiate the function } f ( x ) = \frac { 8 x } { x ^ { 5 } + 3 } \text {. }$

• A)\(f ^ { t} ( x ) = - \frac { 8 \left( - 3 + 4 x ^ { 5 } \right) } { \left( x ^ { 5 } + 3 \right) ^ { 2 } }\)
• B)\(f ^ { t } ( x ) = \frac { 8 \left( - 3 - 4 x ^ { 5 } \right) } { \left( x ^ { 5 } + 3 \right) ^ { 2 } }\)
• C)\(f ^ { t } ( x ) = - \frac { 8 \left( 3 + 5 x ^ { 5 } \right) } { \left( x ^ { 5 } + 3 \right) ^ { 2 } }\)
• D)\(f ^ { t } ( x ) = \frac { 8 \left( 3 + 4 x ^ { 5 } \right) } { \left( x ^ { 5 } + 3 \right) ^ { 2 } }\)
• E)\(f ^ { t } ( x ) = - \frac { 8 \left( 3 + 6 x ^ { 5 } \right) } { \left( x ^ { 5 } + 3 \right) ^ { 2 } }\)

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Definitions:

Interneuron

Neuron located within the central nervous system that conveys messages between parts of the central nervous system.

Stroke

Condition resulting when an arteriole in the brain bursts or becomes blocked by an embolism; cerebrovascular accident.

Interneurons

Neurons that transmit impulses between other neurons, especially as part of a reflex arc in the central nervous system.

Spinal Column

The central support structure in vertebrates, consisting of a series of vertebrae extending from the skull to the tailbone.