hello! i just needed help to verify or falsify my answer and any explanation as to why would be extremely helpful! thanks ahead of time.

Question

y=(x^2)-6x+10
a. at x=3
b. at x=0
c. at x=1
d. at x=-3

my answer was D.

thanks again!

Answer 1

just realized i didn't even specify the directions, haha. it states 'Find the horizontal tangents of the curve.'

Answer 2

dy/dx = 2x - 6 = 0 for horizontal tangent

2x-6 = 0
2x=6
x = 3 , which is choice a)