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Find the tangent line to the curve x^2 + sin(xy)=0 at the point (1,0).?
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- 9 years ago
2x * dx + cos(xy) * (x * dy + y * dx) = 0
x = 1
y = 0
2 * 1 * dx + cos(1 * 0) * (1 * dy + 0 * dx) = 0
2 * dx + cos(0) * dy = 0
2 * dx + 1 * dy = 0
dy = -2 * dx
dy/dx = -2
y - 0 = -2 * (x - 1)
y = 2 * (1 - x)
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