Let x=t^3-3t y=t^2-t Where is the tangent parallel to the x-axis? y-axis? line y=x? The curve intersects itself once. Find this point. Thanks.
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Originally Posted by zhupolongjoe Let x=t^3-3t y=t^2-t Where is the tangent parallel to the x-axis? y-axis? line y=x? The curve intersects itself once. Find this point. Thanks. Horizontal tangents occur when Vertical tangents occur when to find the derivative use the formula For the last here is a hint. For what values of t will the function have the same y-coordinate. Find these and compare those times with the x -coordinate.
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