A particle moves along a hyperbola xy = 12. As it reaches the point (3, 4), the y-coordinate is decreasing at a rate of 4 cm/s. How fast is the x-coordinate of the point changing at that instant? cm/s
Added by Todd T.
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We can differentiate this equation with respect to time (t) to get x(dy/dt) + y(dx/dt) = 0. We are given that dy/dt = -4 cm/s (the negative sign indicates that the Y-coordinate is decreasing). We are also given that at the point of interest, x = 3 and y = 4. Show more…
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