### Home > CALC > Chapter 3 > Lesson 3.4.2 > Problem 3-161

3-161.

Find the equations of the lines tangent to the curve at both

*and*

*. Then, determine the point of intersection for these two tangent lines.*

To find the equation of a tangent line:

Find the slope by evaluating the derivative function at or

*.*

Find the points by evaluating the original function at or

*.*

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*