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Suppose U and V Are Differentiable Functions of X u(2)=7,u(2)=4,v(2)=3,v(2)=4\mathrm { u } ( 2 ) = 7 , \mathrm { u } ^ { \prime } ( 2 ) = 4 , \mathrm { v } ( 2 ) = - 3 , \mathrm { v } ^ { \prime } ( 2 ) = - 4 \text {. }

Question 264

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) =7,u(2) =4,v(2) =3,v(2) =4\mathrm { u } ( 2 ) = 7 , \mathrm { u } ^ { \prime } ( 2 ) = 4 , \mathrm { v } ( 2 ) = - 3 , \mathrm { v } ^ { \prime } ( 2 ) = - 4 \text {. }
ddx(uv) \frac { \mathrm { d } } { \mathrm { dx } } \left( \frac { \mathrm { u } } { \mathrm { v } } \right) at x=2\mathrm { x } = 2


A) 163- \frac { 16 } { 3 }
B) 409- \frac { 40 } { 9 }
C) 1
D) 169\frac { 16 } { 9 }

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