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Wksht4: Equation of Tangent Line (roots)

How to approach this type of problem

To find the equation of the line tangent to at , we need:
  • The slope of the secant line, , given by .
  • The ordered pair .
The Plan
  1. To find , we will first find using the formula, . Then, we evaluate at .
  2. To find the ordered pair, we plug into our equation, .

From the graph above, we see . This is shown algebraically in the Solution pdf at the end of the page. Using point slope form, our equation is given by, . In this case, and . .