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ayoismeisalex
07.01.2020 •
Mathematics
Suppose xy=4 and dy/dt=-2. find dx/dt when x=-3
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Ответ:
xy = 4
y + x(dy/dx) = 0 by implicit differentiation.
x(dy/dx) = -y
dy/dx = -y/x
dy/dx = dy/dt * dt/dx dy/dt = -2
-y/x = -2 * dt/dx
y/(2x) = dt/dx
dt/dx = y/(2x)
dx/dt = 2x/y
When x = -3, xy = 4, y = 4/x = 4/-3 = -4/3
dx/dt = 2*-3/(-4/3) = -6 *-3/4 = 18/4 = 9/2 = 4.5
dx/dt = 4.5
Ответ:
Ответ:
5 3
6 4
4 2
Step-by-step explanation: