Suppose U and V Are Differentiable Functions of X $$u ( 2 ) = 6 , u ^ { \prime } ( 2 ) = 2 , v ( 2 ) = - 1 , v ^ { \prime } ( 2 ) = - 5 \text {. }$$

question 410

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.
- $$u ( 2 ) = 6 , u ^ { \prime } ( 2 ) = 2 , v ( 2 ) = - 1 , v ^ { \prime } ( 2 ) = - 5 \text {. }$$
$\frac { d } { d x } \left( \frac { v } { u } \right)$ at $x = 2$

• A) \(- \frac { 8 } { 9 }\)
• B) \(\frac { 7 } { 9 }\)
• C) \(- \frac { 7 } { 9 }\)
• D) \(- \frac { 14 } { 3 }\)

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