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.
-$$\begin{array} { l }
u ( 2 ) = 8 , u ^ { \prime } ( 2 ) = 4 , v ( 2 ) = - 3 , v ^ { \prime } ( 2 ) = - 4 \
\frac { d } { d x } ( 3 v - u ) \text { at } x = 2
\end{array}$$
A) -1
B) -16
C) -17
D) -8

Question

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.
-$$\begin{array} { l } 
u ( 2 ) = 8 , u ^ { \prime } ( 2 ) = 4 , v ( 2 ) = - 3 , v ^ { \prime } ( 2 ) = - 4 \
\frac { d } { d x } ( 3 v - u ) \text { at } x = 2
\end{array}$$
A) -1
B) -16
C) -17
D) -8

Quizplus · Accepted Answer

\begin{align*}
\frac{d}{dx}(3v-u)&=3\frac{d}{dx}(v)-\frac{d}{dx}(u)\
&=3v^\prime-u^\prime\
&=3(-4)-4\
&=-16
\end{align*}
Therefore, the answer is B (-16).

Suppose U and V Are Differentiable Functions of X A) -1 B) -16 C) -17 D) -8

Suppose U and V Are Differentiable Functions of X A) -1
B) -16
C) -17
D) -8