Question Number 55, it's asking (c) to show that y= x^1/3 having a vertical tangent line, please explain how to solve this and why is there a tangent line since its derivative at (0,0) is undefined?

a. The graph of a position function of a car is shown, where's is measured in feet and t in seconds. Use it to graph the velocity and acceleration of the car. What is the acceleration at t = 10 seconds? b. Use the acceleration curve from part (a) to estimate the jerk at t = 10 seconds. What are the units for jerk? 55. Let f(2) = VE a. If a / 0, use Equation 2.1.5 to find f' (a). Answer b. Show that f (0) does not exist. c. Show that y = VT has a vertical tangent line at (0, 0). (Recall the shape of the graph of f. See Figure 1.2.13.) 56. a. If g(x) = x2/3, show that g' (0) does not exist