)koreangirl195 said:
… why are you worried about it? A tangent line is a line that touches a curve at exactly one point, without crossing or intersecting it. It represents the instantaneous rate of change of the curve at that point.
The slope of a tangent line can be calculated using the derivative of the curve at the given point. This gives the rate of change of the curve at that point.
A tangent line is perpendicular to the curve at a specific point, while a normal line is perpendicular to the tangent line at that point. The normal line is used to find the direction of the curve at that point.
No, there can only be one tangent line to a curve at a given point. This is because a tangent line touches the curve at exactly one point without crossing or intersecting it.
Tangent and normal lines are used in many real-world applications, such as finding the velocity of a moving object at a specific point, calculating the slope of a hill or slope of a road, and finding the direction of a curve in engineering and physics problems.