What does a Vertical Tangent look like?
A vertical tangent occurs when the slope of a curve or function becomes infinitely steep at a certain point
A vertical tangent occurs when the slope of a curve or function becomes infinitely steep at a certain point. It appears as a vertical line that is tangent to the curve at that particular point.
When we say a line is “tangent” to a curve, it means that the line touches the curve at only one point and shares the same slope as the curve at that point. In the case of a vertical tangent, the slope of the curve becomes vertical or undefined, meaning the curve is becoming infinitely steep.
Visually, imagine a curve that is gradually getting steeper and steeper as it approaches a certain point. At that specific point, the slope becomes infinitely steep, and a vertical tangent exists. The line will extend vertically towards positive or negative infinity, depending on the direction of the curve.
Graphically, a vertical tangent is represented by a line that appears to be parallel to the y-axis. It touches the curve at only one point and does not cross or intersect the curve anywhere else.
To summarize, a vertical tangent is a line that is tangent to a curve at a specific point and has an infinitely steep slope. It is represented graphically as a line parallel to the y-axis that touches the curve at only one point.
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