Hanna S.
asked • 11/12/20
Let xy = 1 and dy/dt = 4 .
Let xy = 1 and dy/dt = 4 .
Find dx/dt when x=1
y = 1/x = x-1
dy/dx = -1 x-2
Use the chain rule:
dy/dt = dy/dx dx/dt
dx/dt = dy/dt ÷ dy/dx
Substitute dy/dt = 4 and dy/dx = -x2
dx/dt = 4/(-x2)
Substitute x = 1
dx/dt = -4
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