Question

evaluate dy/dt for the function at the point.
xy+x=12 dy/dt=-3, x=2, y=5

Answer 1

\[\Large\bf\sf xy+x=12, \qquad y'=-3,\quad x=2,\quad y=5\]We'll take our derivative with respect to t,
Applying the product rule to the first term.\[\Large\bf\sf x'y+xy'+x'=0\]Then we just solve for x', plug and chug :U

Answer 2

i dont get it