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Lines and Tangent Lines

The equation of the line passing through point tex2html_wrap_inline1443 with slope m is given by tex2html_wrap_inline1447 .

If you have a differentiable function y=f(x) and a particular value of x, say, x=c, then the slope of the tangent line when x=c is f'(c). Since the point on the graph at this value of x is (c,f(c), then the equation of the tangent line is (y-f(c))=f'(c)(x-c).

Carl Lee
Wed Apr 21 08:17:28 EDT 1999