Question

Find the points on the curve y=2x^3-3x^2-12x+6 where the tangent is parallel to the x-axis.

show complete solution:)

Answer 1

x-axis is y=0
the slope of the line y=0 is 0
so it is just another way of asking where are your horizontal tangents

Answer 2

so find y'
and then set =0

Answer 3

and solve for x