Suppose U and V Are Differentiable Functions of X $$u ( 2 ) = 10 , u ^ { \prime } ( 2 ) = 4 , v ( 2 ) = - 3 , v ^ { \prime } ( 2 ) = - 5 \text {. }$$

question 5

Multiple Choice

Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.
- $$u ( 2 ) = 10 , u ^ { \prime } ( 2 ) = 4 , v ( 2 ) = - 3 , v ^ { \prime } ( 2 ) = - 5 \text {. }$$
$\frac { \mathrm { d } } { \mathrm { dx } } \left( \frac { \mathrm { v } } { \mathrm { u } } \right)$ at $\mathrm { x } = 2$

• A) \(- \frac { 31 } { 50 }\)
• B) \(\frac { 19 } { 50 }\)
• C) \(- \frac { 19 } { 50 }\)
• D) \(- \frac { 19 } { 5 }\)

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Definitions:

Falx Cerebri

Dural fold between the two cerebral hemispheres.

Tentorium Cerebelli

A structure of the meninges, consisting of a fold of dura mater separating the cerebrum from the cerebellum.

Dural Venous Sinus

Channels found between the layers of the dura mater in the brain, which collect and drain venous blood from the brain back to the heart.

Cerebral Aqueduct

A canal within the brain through which cerebrospinal fluid flows, connecting the third and fourth ventricles.