Mathematics

Mathematics

Problem

For a point constrained to the curve x2y=16x^{2}y=16, the coordinates are (2,4)(2,4) at a particular moment when dxdt=3 cm/s\dfrac{dx}{dt}=3\text{ cm/s}. What is dydt\dfrac{dy}{dt} (in cm/s) at that instant? a) 1212 b) −6-6 c) −12-12 d) −3-3

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