Chapter 6 - Applications of the Derivative - Chapter Review - Review Exercises - Page 351: 41

$\frac{dy}{dt}=\frac{51}{20000}$

$y=\frac{3x-7}{2x+1}$ Find y value: $y=\frac{-1}{5}$ $2xy +y=3x -7$ $2y\frac{dx}{dt} + 2x \frac{dy}{dt}=3\frac{dx}{dt}$ $2x\frac{dy}{dt}=(3-2y)\frac{dx}{dt}$ With x=2; dx=0.003, y=-1/5 $\frac{dy}{dt}=\frac{51}{20000}$