For what value of t is the slope of the curve undefined for the graph defined by x = 8 - t3, y = t2 - 6t? Type your answer in the space below to the nearest whole number.

Question

For what value of t is the slope of the curve undefined for the graph defined by x = 8 - t³, y = t² - 6t?

Type your answer in the space below to the nearest whole number.

Answer 1

dy/dx = (dy/dt)/(dx/dt) = (2t - 6)/(-3t²); dy/dx undefined for -3t² = 0, t = 0, x = 8, y = 0. So, at point (8, 0)

tangent line to this curve is vertical.