Question

Show that at the points of intersections of the quadratic functions, y = x^2 and y = 1/2 - x^2, the tangent to the functions are perpendicular.

Answer 1

Does the question mean to show that the tangents at those two particular intersections are perpendicular to each other?

Answer 2

step1: find out the intersection point. Let say (x, y)
step2: find out the tangent lines to the 2 functions
step3: compare the slope of the two

Answer 3

they should be m1 = -1/m2 where m1 is slope of the curve 1 and m2 is slope of the curve 2

Answer 4

Ok, got it. Thank you!