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How do you find the gradient of the curve y equals x-4 over x when y equals 3?
Wiki User
∙ 9y ago
y = x - 4/x
so gradient = dy/dx = 1 + 4/x2
When y = 3, x - 4/x = 3
x2 - 3x - 4 = 0 so x = -1 or x = 4
When x = -1, gradient = 1 + 4/(-1)2 = 1 + 4/1 = 1+4 = 5
When x = 4, gradient = 1 + 4/(4)2 = 1 + 4/16 = 1+1/4 = 1.25
Wiki User
∙ 9y ago
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