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find the equation of the tangent line at the given value of x on the curve
2xy-2x+y=-14, x=2
2xy-2x+y=-14, x=2
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Answered by
Damon
2xy-2x+y=-14, x=2
We want dy/dx
2xdy/dx + 2xdx/dx - 2dx/dx + dy/dx = 0
dx/dx = 1
(2x+1)dy/dx + 2x - 2 = 0
dy/dx = -2(x-1)/(2x+1)
now put in x = 2
We want dy/dx
2xdy/dx + 2xdx/dx - 2dx/dx + dy/dx = 0
dx/dx = 1
(2x+1)dy/dx + 2x - 2 = 0
dy/dx = -2(x-1)/(2x+1)
now put in x = 2
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