To find the equation of a tangent line:
Find the slope by evaluating the derivative function at
Find the points by evaluating the original function at
Write each equation using point-slope form.
To find the point of intersection:
Using the two tangent lines, write and solve a system of equations.
Use the eTool below to visualize this problem.
Click the link at right for the full version of the eTool: Calc 3-161 HW eTool