Suppose U and V Are Differentiable Functions of X $$u ( 1 ) = 4 , u ^ { \prime } ( 1 ) = - 7 , v ( 1 ) = 6 , v ^ { \prime } ( 1 ) = - 3 \text {. }$$

question 114

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.
- $$u ( 1 ) = 4 , u ^ { \prime } ( 1 ) = - 7 , v ( 1 ) = 6 , v ^ { \prime } ( 1 ) = - 3 \text {. }$$
$\frac { \mathrm { d } } { \mathrm { dx } } \left( \frac { \mathrm { v } } { \mathrm { u } } \right)$ at $\mathrm { x } = 1$

• A) \(- \frac { 27 } { 8 }\)
• B) \(- \frac { 15 } { 8 }\)
• C) \(\frac { 15 } { 8 }\)
• D) \(\frac { 15 } { 2 }\)

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