Find the equations of the lines tangent to the curve y = x3 − 4x at both x = 0 and x = 2 . Then, determine the point of intersection for these two tangent lines. Homework Help ✎
To find the equation of a tangent line:
Find the slope by evaluating the derivative function at x = 0 or x = 2.
Find the points by evaluating the original function at x = 0 or x = 2.
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