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


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.

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Click the link at right for the full version of the eTool: Calc 3-161 HW eTool