Mathematics

Mathematics

Problem

A point moves along the hyperbola xy=12xy=12. When the point is at (4,3)(4,3), its xx–coordinate is decreasing at a rate of 33 units per second. What is dydt\dfrac{dy}{dt} at that instant? a) 4 units/s4\text{ units/s} b) −94 units/s-\dfrac{9}{4}\text{ units/s} c) 94 units/s\dfrac{9}{4}\text{ units/s} d) 34 units/s\dfrac{3}{4}\text{ units/s}

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