Question

x² + y² = 5 and dx/dt = -3, then what is dy/dt when x = 1 and y = 2?

Answer 1

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Answer 2

diff wrt. t.
(2x)dx/dt +(2y)dy/dt =0
now plug values
2.1.(-3)+2.2.dy/dt=0
dy/dt=3/2