### Home > CALC > Chapter 12 > Lesson 12.2.3 > Problem 12-97

12-97.

For the parametric curve with equations

*x*(*t*) = 2*t*^{3}− 15*t*^{2}+ 24*t*+ 7 and*y*(*t*) =*t*^{2}+*t*+1, find all values of*t*at which the curve has a tangent line that is: Homework Help ✎Horizontal

Vertical

If the tangent line is horizontal, the *dy* = 0.

If the tangent line is vertical, then *dx* = 0.