Question

For what value of t is the slope of the curve undefined for the graph defined by

x = 10 - t2, y = t3 - 12t?

Thank you in advance!

Answer 1

t = 0

Explanation:

x = 10 − t²

dx/dt = -2t

y = t³ − 12t

dy/dt = 3t² − 12

dy/dx = (3t² − 12) / (-2t)

dy/dx = (12 − 3t²) / (2t)

dy/dx is undefined when the denominator equals 0.

2t = 0

t = 0