Tangent, Mathematics

A tangent to a curve at a point is a straight line which touches but does not intersect the curve at that point. A slope of the curve at a point is defined as the slope of the tangent at that point on the curve.

Example 

Consider the curve y = x2 - 3x + 3. The tangent to the curve at the point (2, 1) is shown below.

Figure 

444_tangent.png

Later, after studying differential calculus, we may show that y = 2x - 3 is the tangent at (2, 1). Therefore, the slope of the curve at (2, 1) is 2.

Posted Date: 9/13/2012 6:00:37 AM | Location : United States







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