Question

在抛物线y=x^2上哪一点的切线与过点A（1,1),B(2,4)的直线平行?

Answer 1

y=x^2

y'=2x

2x = slope of AB = (4-1)/(2-1) = 3

2x=3

x = 3/2

x=3/2 ,y= 9/4

(3/2,9/4)