Question

Let xy=3 and dy/dt=4. Find dx/dt when x=5

Answer 1

Answer:

xy = 3

d/dt(xy) = d/dt(3)

ydx/dt + xdy/dt = 0

y = 3/x so substitute 3/5 for y, 5 for x, and 5 for dy/dt; and solve for dx/dt.

3/5(dx/dt) + 5(5) = 0

3/5(dx/dt) = -25

dx/dt = -125/3

Step-by-step explanation:

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