### Home > APCALC > Chapter 3 > Lesson 3.4.1 > Problem3-155

3-155.

Re-examine your graph of $y = 3 \sqrt [ 3 ] { x - 2 }$ from problem 3-154. Homework Help ✎

1. As accurately as possible, draw a tangent to $y$ at $x = 2$. Estimate its slope.

The tangent line should look vertical. What is the slope of a vertical line?

2. According to your derivative, $y^\prime$ what is the slope of the tangent at $x = 2$?

Refer to hints in problem 3-154.